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131403032223104 = 2723296722971787
BaseRepresentation
bin11101111000001010100111…
…000011101101110110000000
3122020021000012020122222101002
4131320022213003231312000
5114210401402222114404
61143245415235431132
736451361430632225
oct3570124703556600
9566230166588332
10131403032223104
1138961793024624
12128a29557554a8
1358423394463c5
142463d2539b94c
15102d163a14c1e
hex7782a70edd80

131403032223104 has 128 divisors (see below), whose sum is σ = 286798178822400. Its totient is φ = 59772219623424.

The previous prime is 131403032223083. The next prime is 131403032223143. The reversal of 131403032223104 is 401322230304131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1314030322231042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5765702 + ... + 17206085.

It is an arithmetic number, because the mean of its divisors is an integer number (2240610772050).

Almost surely, 2131403032223104 is an apocalyptic number.

It is an amenable number.

131403032223104 is an abundant number, since it is smaller than the sum of its proper divisors (155395146599296).

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

131403032223104 is a wasteful number, since it uses less digits than its factorization.

131403032223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22971920 (or 22971908 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 131403032223104 its reverse (401322230304131), we get a palindrome (532725262527235).

The spelling of 131403032223104 in words is "one hundred thirty-one trillion, four hundred three billion, thirty-two million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 67 92 116 128 134 184 232 268 368 464 536 667 736 928 1072 1334 1472 1541 1856 1943 2144 2668 2944 3082 3712 3886 4288 5336 6164 7772 8576 10672 12328 15544 21344 24656 31088 42688 44689 49312 62176 85376 89378 98624 124352 178756 197248 248704 357512 715024 1430048 2860096 5720192 22971787 45943574 91887148 183774296 367548592 528351101 666181823 735097184 1056702202 1332363646 1470194368 1539109729 2113404404 2664727292 2940388736 3078219458 4226808808 5329454584 6156438916 8453617616 10658909168 12312877832 15322181929 16907235232 21317818336 24625755664 30644363858 33814470464 35399523767 42635636672 44634182141 49251511328 61288727716 67628940928 70799047534 85271273344 89268364282 98503022656 122577455432 141598095068 178536728564 197006045312 245154910864 283196190136 357073457128 490309821728 566392380272 714146914256 980619643456 1026586189243 1132784760544 1428293828512 1961239286912 2053172378486 2265569521088 2856587657024 4106344756972 4531139042176 5713175314048 8212689513944 16425379027888 32850758055776 65701516111552 131403032223104