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131203131012 = 2232171924146819
BaseRepresentation
bin111101000110001010…
…0001110011010000100
3110112122202211122002200
41322030110032122010
54122201000143022
6140135054234500
712323223132642
oct1721424163204
9415582748080
10131203131012
1150708824288
12215177b5a30
13c4ac224185
1464c91b2192
15362d7bbbac
hex1e8c50e684

131203131012 has 144 divisors (see below), whose sum is σ = 371185214400. Its totient is φ = 38832721920.

The previous prime is 131203130983. The next prime is 131203131019. The reversal of 131203131012 is 210131302131.

131203131012 is a `hidden beast` number, since 1 + 312 + 0 + 31 + 310 + 12 = 666.

It is a super-2 number, since 2×1312031310122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131203131019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2778939 + ... + 2825757.

It is an arithmetic number, because the mean of its divisors is an integer number (2577675100).

Almost surely, 2131203131012 is an apocalyptic number.

131203131012 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 131203131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185592607200).

131203131012 is an abundant number, since it is smaller than the sum of its proper divisors (239982083388).

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

131203131012 is a wasteful number, since it uses less digits than its factorization.

131203131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47106 (or 47101 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131203131012 its reverse (210131302131), we get a palindrome (341334433143).

The spelling of 131203131012 in words is "one hundred thirty-one billion, two hundred three million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 102 114 153 171 204 228 241 306 323 342 482 612 646 684 723 964 969 1292 1446 1938 2169 2892 2907 3876 4097 4338 4579 5814 8194 8676 9158 11628 12291 13737 16388 18316 24582 27474 36873 41211 46819 49164 54948 73746 77843 82422 93638 140457 147492 155686 164844 187276 233529 280914 311372 421371 467058 561828 700587 795923 842742 889561 934116 1401174 1591846 1685484 1779122 2387769 2668683 2802348 3183692 3558244 4775538 5337366 7163307 8006049 9551076 10674732 11283379 14326614 15122537 16012098 22566758 28653228 30245074 32024196 33850137 45133516 45367611 60490148 67700274 90735222 101550411 135400548 136102833 181470444 191817443 203100822 214384201 272205666 383634886 406201644 428768402 544411332 575452329 643152603 767269772 857536804 1150904658 1286305206 1726356987 1929457809 2301809316 2572610412 3452713974 3644531417 3858915618 6905427948 7289062834 7717831236 10933594251 14578125668 21867188502 32800782753 43734377004 65601565506 131203131012