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131230000013232 = 24343476312143859
BaseRepresentation
bin11101110101101001011101…
…100010001101111110110000
3122012122110120100000222021110
4131311221131202031332300
5114200033020000410412
61143034121342553320
736433024510260111
oct3565513542157660
9565573510028243
10131230000013232
11388a536a93728a
1212875305598840
13582bc2223acc3
1424597ccb36208
1510288d7db1d3c
hex775a5d88dfb0

131230000013232 has 160 divisors (see below), whose sum is σ = 354837163253760. Its totient is φ = 41750691252480.

The previous prime is 131230000013213. The next prime is 131230000013239. The reversal of 131230000013232 is 232310000032131.

131230000013232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131230000013199 and 131230000013208.

It is not an unprimeable number, because it can be changed into a prime (131230000013239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60140119 + ... + 62283977.

It is an arithmetic number, because the mean of its divisors is an integer number (2217732270336).

Almost surely, 2131230000013232 is an apocalyptic number.

131230000013232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131230000013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177418581626880).

131230000013232 is an abundant number, since it is smaller than the sum of its proper divisors (223607163240528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131230000013232 is a wasteful number, since it uses less digits than its factorization.

131230000013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144591 (or 2144585 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131230000013232 its reverse (232310000032131), we get a palindrome (363540000045363).

The spelling of 131230000013232 in words is "one hundred thirty-one trillion, two hundred thirty billion, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 47 48 86 94 129 141 172 188 258 282 344 376 516 564 631 688 752 1032 1128 1262 1893 2021 2064 2256 2524 3786 4042 5048 6063 7572 8084 10096 12126 15144 16168 24252 27133 29657 30288 32336 48504 54266 59314 81399 88971 97008 108532 118628 162798 177942 217064 237256 325596 355884 434128 474512 651192 711768 1275251 1302384 1423536 2143859 2550502 3825753 4287718 5101004 6431577 7651506 8575436 10202008 12863154 15303012 17150872 20404016 25726308 30606024 34301744 51452616 61212048 92185937 100761373 102905232 184371874 201522746 276557811 302284119 368743748 403045492 553115622 604568238 737487496 806090984 1106231244 1209136476 1352775029 1474974992 1612181968 2212462488 2418272952 2705550058 4058325087 4332739039 4424924976 4836545904 5411100116 8116650174 8665478078 10822200232 12998217117 16233300348 17330956156 21644400464 25996434234 32466600696 34661912312 51992868468 58169326247 63580426363 64933201392 69323824624 103985736936 116338652494 127160852726 174507978741 190741279089 207971473872 232677304988 254321705452 349015957482 381482558178 465354609976 508643410904 698031914964 762965116356 930709219952 1017286821808 1396063829928 1525930232712 2733958333609 2792127659856 3051860465424 5467916667218 8201875000827 10935833334436 16403750001654 21871666668872 32807500003308 43743333337744 65615000006616 131230000013232