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22313101012031 = 3125122651126601
BaseRepresentation
bin1010001001011001011000…
…11101011010110000111111
32221000010000101002202021202
411010230230131122300333
510411034212324341111
6115242255212250115
74462032305145554
oct504545435326077
987003011082252
1022313101012031
117122a29902395
12260451847093b
13c5b168954a1b
14571d61b90a2b
1528a635778b3b
hex144b2c75ac3f

22313101012031 has 16 divisors (see below), whose sum is σ = 23125846496256. Its totient is φ = 21506175000000.

The previous prime is 22313101012019. The next prime is 22313101012043. The reversal of 22313101012031 is 13021010131322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22313101012019) and next prime (22313101012043).

It is a cyclic number.

It is not a de Polignac number, because 22313101012031 - 230 = 22312027270207 is a prime.

It is a super-3 number, since 3×223131010120313 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22313101011994 and 22313101012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313101012231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176184131 + ... + 176310731.

It is an arithmetic number, because the mean of its divisors is an integer number (1445365406016).

Almost surely, 222313101012031 is an apocalyptic number.

22313101012031 is a deficient number, since it is larger than the sum of its proper divisors (812745484225).

22313101012031 is a wasteful number, since it uses less digits than its factorization.

22313101012031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149534.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 22313101012031 its reverse (13021010131322), we get a palindrome (35334111143353).

The spelling of 22313101012031 in words is "twenty-two trillion, three hundred thirteen billion, one hundred one million, twelve thousand, thirty-one".

Divisors: 1 31 251 7781 22651 126601 702181 3924631 5685401 31776851 176247431 985082381 2867639251 88896816781 719777452001 22313101012031