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22312031031013 = 175212753915053
BaseRepresentation
bin1010001001010111011001…
…01011110000111011100101
32221000000020210202002021011
411010223230223300323211
510411030014420443023
6115242001111022221
74461663633360433
oct504535453607345
987000223662234
1022312031031013
11712252a930859
12260427a06a971
13c5b028084869
14571c9da27d53
1528a5c187250d
hex144aecaf0ee5

22312031031013 has 16 divisors (see below), whose sum is σ = 23678471695536. Its totient is φ = 20951616225280.

The previous prime is 22312031031001. The next prime is 22312031031067. The reversal of 22312031031013 is 31013013021322.

It can be written as a sum of positive squares in 8 ways, for example, as 1684746888484 + 20627284142529 = 1297978^2 + 4541727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22312031031013 is a prime.

It is a super-3 number, since 3×223120310310133 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312031031113) 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, 23925795 + ... + 24840847.

It is an arithmetic number, because the mean of its divisors is an integer number (1479904480971).

Almost surely, 222312031031013 is an apocalyptic number.

It is an amenable number.

22312031031013 is a deficient number, since it is larger than the sum of its proper divisors (1366440664523).

22312031031013 is a wasteful number, since it uses less digits than its factorization.

22312031031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918344.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 22312031031013 its reverse (31013013021322), we get a palindrome (53325044052335).

The spelling of 22312031031013 in words is "twenty-two trillion, three hundred twelve billion, thirty-one million, thirty-one thousand, thirteen".

Divisors: 1 17 521 2753 8857 46801 915053 1434313 15555901 24383321 476742613 2519140909 8104624421 42825395453 1312472413589 22312031031013