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131193354204 = 2232113128373767
BaseRepresentation
bin111101000101110111…
…0111011011111011100
3110112122002102220211200
41322023232323133130
54122140444313304
6140134104515500
712323044053063
oct1721356733734
9415562386750
10131193354204
1150703256880
122151447bb90
13c4aa1b0093
1464c7b891da
15362c9d9e39
hex1e8bbbb7dc

131193354204 has 144 divisors (see below), whose sum is σ = 373676599296. Its totient is φ = 38449353600.

The previous prime is 131193354181. The next prime is 131193354221. The reversal of 131193354204 is 402453391131.

131193354204 is a `hidden beast` number, since 1 + 3 + 11 + 93 + 354 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34825129 + ... + 34828895.

It is an arithmetic number, because the mean of its divisors is an integer number (2594976384).

Almost surely, 2131193354204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131193354204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186838299648).

131193354204 is an abundant number, since it is smaller than the sum of its proper divisors (242483245092).

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

131193354204 is a wasteful number, since it uses less digits than its factorization.

131193354204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6651 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 131193354204 in words is "one hundred thirty-one billion, one hundred ninety-three million, three hundred fifty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 2837 3069 3767 4092 5674 6138 7534 8511 11301 11348 12276 15068 17022 22602 25533 31207 33903 34044 41437 45204 51066 62414 67806 82874 87947 93621 102132 116777 124311 124828 135612 165748 175894 187242 233554 248622 263841 280863 350331 351788 372933 374484 467108 497244 527682 561726 700662 745866 791523 967417 1050993 1055364 1123452 1284547 1401324 1491732 1583046 1934834 2101986 2569094 2902251 3166092 3853641 3869668 4203972 5138188 5804502 7707282 8706753 10686979 11560923 11609004 15414564 17413506 21373958 23121846 32060937 34827012 42747916 46243692 64121874 96182811 117556769 128243748 192365622 235113538 331296349 352670307 384731244 470227076 662592698 705340614 993889047 1058010921 1325185396 1410681228 1987778094 2116021842 2981667141 3644259839 3975556188 4232043684 5963334282 7288519678 10932779517 11926668564 14577039356 21865559034 32798338551 43731118068 65596677102 131193354204