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23031404001 = 34416935081
BaseRepresentation
bin10101011100110001…
…110101010111100001
32012110002122112210000
4111130301311113201
5334132014412001
614325214530213
71443511463304
oct253461652741
965402575700
1023031404001
119849699791
124569206969
132230736208
141186b44b3b
158ebe64a86
hex55cc755e1

23031404001 has 20 divisors (see below), whose sum is σ = 35244086724. Its totient is φ = 14979772800.

The previous prime is 23031403987. The next prime is 23031404009. The reversal of 23031404001 is 10040413032.

23031404001 is a `hidden beast` number, since 230 + 31 + 4 + 0 + 400 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7073651025 + 15957752976 = 84105^2 + 126324^2 .

It is not a de Polignac number, because 23031404001 - 27 = 23031403873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23031404009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3464220 + ... + 3470861.

Almost surely, 223031404001 is an apocalyptic number.

It is an amenable number.

23031404001 is a deficient number, since it is larger than the sum of its proper divisors (12212682723).

23031404001 is an equidigital number, since it uses as much as digits as its factorization.

23031404001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6935134 (or 6935125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23031404001 its reverse (10040413032), we get a palindrome (33071817033).

The spelling of 23031404001 in words is "twenty-three billion, thirty-one million, four hundred four thousand, one".

Divisors: 1 3 9 27 41 81 123 369 1107 3321 6935081 20805243 62415729 187247187 284338321 561741561 853014963 2559044889 7677134667 23031404001