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131141403413202 = 237213317108240523
BaseRepresentation
bin11101110100010110111100…
…110001000000101011010010
3122012022222212212220100222210
4131310112330301000223102
5114142110043233210302
61142525310134212550
736423440141506500
oct3564267461005322
9565288785810883
10131141403413202
1138870836417386
12128600ba7b4156
1358237730b7c10
1424553c6393670
15102644ed4c66c
hex7745bcc40ad2

131141403413202 has 96 divisors (see below), whose sum is σ = 329610579988032. Its totient is φ = 34477636991616.

The previous prime is 131141403413201. The next prime is 131141403413227. The reversal of 131141403413202 is 202314304141131.

It is a self number, because there is not a number n which added to its sum of digits gives 131141403413202.

It is not an unprimeable number, because it can be changed into a prime (131141403413201) 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 47 ways as a sum of consecutive naturals, for example, 52908688 + ... + 55331835.

It is an arithmetic number, because the mean of its divisors is an integer number (3433443541542).

Almost surely, 2131141403413202 is an apocalyptic number.

131141403413202 is an abundant number, since it is smaller than the sum of its proper divisors (198469176574830).

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

131141403413202 is a wasteful number, since it uses less digits than its factorization.

131141403413202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108240872 (or 108240865 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131141403413202 its reverse (202314304141131), we get a palindrome (333455707554333).

The spelling of 131141403413202 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred three million, four hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 317 546 634 637 951 1274 1902 1911 2219 3822 4121 4438 6657 8242 12363 13314 15533 24726 28847 31066 46599 57694 86541 93198 173082 201929 403858 605787 1211574 108240523 216481046 324721569 649443138 757683661 1407126799 1515367322 2273050983 2814253598 4221380397 4546101966 5303785627 8442760794 9849887593 10607571254 15911356881 19699775186 29549662779 31822713762 34312245791 59099325558 68624491582 68949213151 102936737373 137898426302 205873474746 206847639453 240185720537 413695278906 446059195283 480371441074 720557161611 892118390566 1338177585849 1441114323222 1681300043759 2676355171698 3122414366981 3362600087518 5043900131277 6244828733962 9367243100943 10087800262554 18734486201886 21856900568867 43713801137734 65570701706601 131141403413202