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131141122431423 = 31322358391926037
BaseRepresentation
bin11101110100010110101100…
…000001001001100110111111
3122012022222011022012000110020
4131310112230001021212333
5114142104004320301143
61142525222215543223
736423430160266566
oct3564265401114677
9565288138160406
10131141122431423
1138870701852635
121286004068ab13
135823729b18700
14245539ad30bdd
151026435348883
hex7745ac0499bf

131141122431423 has 48 divisors (see below), whose sum is σ = 197605951810560. Its totient is φ = 77180176225152.

The previous prime is 131141122431337. The next prime is 131141122431509. The reversal of 131141122431423 is 324134221141131.

It is an interprime number because it is at equal distance from previous prime (131141122431337) and next prime (131141122431509).

It is not a de Polignac number, because 131141122431423 - 212 = 131141122427327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141122431923) 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, 67125561 + ... + 69051597.

It is an arithmetic number, because the mean of its divisors is an integer number (4116790662720).

Almost surely, 2131141122431423 is an apocalyptic number.

131141122431423 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131141122431423 is a deficient number, since it is larger than the sum of its proper divisors (66464829379137).

131141122431423 is a wasteful number, since it uses less digits than its factorization.

131141122431423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931928 (or 1931915 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

Adding to 131141122431423 its reverse (324134221141131), we get a palindrome (455275343572554).

The spelling of 131141122431423 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twenty-two million, four hundred thirty-one thousand, four hundred twenty-three".

Divisors: 1 3 13 23 39 69 169 299 507 897 3887 5839 11661 17517 75907 134297 227721 402891 986791 1745861 1926037 2960373 5237583 5778111 22696193 25038481 44298851 68088579 75115443 132896553 325500253 575885063 976500759 1727655189 7486505819 11246130043 22459517457 33738390129 146199690559 258660990989 438599071677 775982972967 1900595977267 3362592882857 5701787931801 10087778648571 43713707477141 131141122431423