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23131134421122 = 23721319609308639
BaseRepresentation
bin1010100001001101000110…
…00011001110100010000010
310000220022111112021120221210
411100212203003032202002
511012440030402433442
6121110144011230550
74605112034330400
oct520464303164202
9100808445246853
1023131134421122
11740894a398262
122716b76148456
13cba344a2b560
1459d7a515c470
152a1a61d2319c
hex1509a30ce882

23131134421122 has 96 divisors (see below), whose sum is σ = 57958073510400. Its totient is φ = 6100188095232.

The previous prime is 23131134421117. The next prime is 23131134421127. The reversal of 23131134421122 is 22112443113132.

It is an interprime number because it is at equal distance from previous prime (23131134421117) and next prime (23131134421127).

It is a self number, because there is not a number n which added to its sum of digits gives 23131134421122.

It is not an unprimeable number, because it can be changed into a prime (23131134421127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74791279 + ... + 75099917.

It is an arithmetic number, because the mean of its divisors is an integer number (603729932400).

Almost surely, 223131134421122 is an apocalyptic number.

23131134421122 is an abundant number, since it is smaller than the sum of its proper divisors (34826939089278).

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

23131134421122 is a wasteful number, since it uses less digits than its factorization.

23131134421122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328280 (or 328273 counting only the distinct ones).

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

Adding to 23131134421122 its reverse (22112443113132), we get a palindrome (45243577534254).

The spelling of 23131134421122 in words is "twenty-three trillion, one hundred thirty-one billion, one hundred thirty-four million, four hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 19609 39218 58827 117654 137263 254917 274526 308639 411789 509834 617278 764751 823578 925917 960841 1529502 1784419 1851834 1921682 2160473 2882523 3568838 4012307 4320946 5353257 5765046 6481419 8024614 10706514 12036921 12490933 12962838 15123311 24073842 24981866 28086149 30246622 37472799 45369933 56172298 74945598 84258447 90739866 168516894 196603043 393206086 589809129 1179618258 6052102151 12104204302 18156306453 36312612906 42364715057 78677327963 84729430114 127094145171 157354655926 236031983889 254188290342 296553005399 472063967778 550741295741 593106010798 889659016197 1101482591482 1652223887223 1779318032394 3304447774446 3855189070187 7710378140374 11565567210561 23131134421122