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23322013122131 = 1929439137370223
BaseRepresentation
bin1010100110110000101000…
…10011101011111001010011
310001120120012012020021111122
411103120110103223321103
511024101440324402011
6121333552424232455
74624650140452103
oct523302423537123
9101516165207448
1023322013122131
1174818a0449529
122747b6700b72b
13100234440a199
145a8b11a91203
152a69d460a3db
hex1536144ebe53

23322013122131 has 32 divisors (see below), whose sum is σ = 25472772864000. Its totient is φ = 21268259607168.

The previous prime is 23322013122091. The next prime is 23322013122181. The reversal of 23322013122131 is 13122131022332.

It is a cyclic number.

It is not a de Polignac number, because 23322013122131 - 214 = 23322013105747 is a prime.

It is a super-2 number, since 2×233220131221312 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23322013122131.

It is not an unprimeable number, because it can be changed into a prime (23322013122181) 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 31 ways as a sum of consecutive naturals, for example, 332078486 + ... + 332148708.

It is an arithmetic number, because the mean of its divisors is an integer number (796024152000).

Almost surely, 223322013122131 is an apocalyptic number.

23322013122131 is a deficient number, since it is larger than the sum of its proper divisors (2150759741869).

23322013122131 is a wasteful number, since it uses less digits than its factorization.

23322013122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72083.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 23322013122131 its reverse (13122131022332), we get a palindrome (36444144144463).

The spelling of 23322013122131 in words is "twenty-three trillion, three hundred twenty-two billion, thirteen million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 19 29 439 551 1373 8341 12731 26087 39817 70223 241889 602747 756523 1334237 2036467 11452193 17479663 30827897 38692873 96416179 332113597 585730043 894009013 1831907401 2796069191 16986171247 42326702581 53125314629 804207349039 1227474374849 23322013122131