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23131310033 = 13318158169
BaseRepresentation
bin10101100010101110…
…111100011111010001
32012201001122022002102
4111202232330133101
5334333103410113
614343144130145
71446133614446
oct254256743721
965631568072
1023131310033
1198a0026657
124596766955
132248346000
14119610d9cd
15905aeb758
hex562bbc7d1

23131310033 has 16 divisors (see below), whose sum is σ = 25196917200. Its totient is φ = 21233646720.

The previous prime is 23131310009. The next prime is 23131310039. The reversal of 23131310033 is 33001313132.

It can be written as a sum of positive squares in 8 ways, for example, as 22630087489 + 501222544 = 150433^2 + 22388^2 .

It is not a de Polignac number, because 23131310033 - 220 = 23130261457 is a prime.

It is a super-2 number, since 2×231313100332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23131309987 and 23131310014.

It is not an unprimeable number, because it can be changed into a prime (23131310039) 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, 368573 + ... + 426741.

It is an arithmetic number, because the mean of its divisors is an integer number (1574807325).

Almost surely, 223131310033 is an apocalyptic number.

It is an amenable number.

23131310033 is a deficient number, since it is larger than the sum of its proper divisors (2065607167).

23131310033 is an equidigital number, since it uses as much as digits as its factorization.

23131310033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58389 (or 58363 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 23131310033 its reverse (33001313132), we get a palindrome (56132623165).

The spelling of 23131310033 in words is "twenty-three billion, one hundred thirty-one million, three hundred ten thousand, thirty-three".

Divisors: 1 13 169 181 2197 2353 30589 58169 397657 756197 9830561 10528589 127797293 136871657 1779331541 23131310033