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131141111212100 = 225211412907785171
BaseRepresentation
bin11101110100010110101011…
…010110010110100001000100
3122012022222010112002000102202
4131310112223112112201010
5114142103443432241400
61142525221135254032
736423426663031313
oct3564265326264104
9565288115060382
10131141111212100
11388706a648a370
121286003897a318
1358237276bab62
14245539965027a
15102643437e4d5
hex7745ab596844

131141111212100 has 72 divisors (see below), whose sum is σ = 318018648691296. Its totient is φ = 46524562720000.

The previous prime is 131141111212093. The next prime is 131141111212103. The reversal of 131141111212100 is 1212111141131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131141111212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1453847486 + ... + 1453937685.

It is an arithmetic number, because the mean of its divisors is an integer number (4416925676268).

Almost surely, 2131141111212100 is an apocalyptic number.

131141111212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141111212100 is an abundant number, since it is smaller than the sum of its proper divisors (186877537479196).

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

131141111212100 is a wasteful number, since it uses less digits than its factorization.

131141111212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907785237 (or 2907785230 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 131141111212100 its reverse (1212111141131), we get a palindrome (132353222353231).

The spelling of 131141111212100 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred eleven million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1804 2050 2255 4100 4510 9020 11275 22550 45100 2907785171 5815570342 11631140684 14538925855 29077851710 31985636881 58155703420 63971273762 72694629275 119219192011 127942547524 145389258550 159928184405 238438384022 290778517100 319856368810 476876768044 596095960055 639712737620 799640922025 1192191920110 1311411112121 1599281844050 2384383840220 2622822224242 2980479800275 3198563688100 5245644448484 5960959600550 6557055560605 11921919201100 13114111121210 26228222242420 32785277803025 65570555606050 131141111212100