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23000012113 = 1317237165457
BaseRepresentation
bin10101011010111010…
…000101010101010001
32012100220120200012111
4111122322011111101
5334101000341423
614322134025321
71442650606621
oct253272052521
965326520174
1023000012113
1198329a8581
12455a7a8241
132227094830
1411828d2881
158e931360d
hex55ae85551

23000012113 has 24 divisors (see below), whose sum is σ = 27023262392. Its totient is φ = 19441741824.

The previous prime is 23000012099. The next prime is 23000012141. The reversal of 23000012113 is 31121000032.

It can be written as a sum of positive squares in 12 ways, for example, as 3964843089 + 19035169024 = 62967^2 + 137968^2 .

It is not a de Polignac number, because 23000012113 - 213 = 23000003921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23000012093 and 23000012102.

It is not an unprimeable number, because it can be changed into a prime (23000012173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56281 + ... + 221737.

Almost surely, 223000012113 is an apocalyptic number.

It is an amenable number.

23000012113 is a deficient number, since it is larger than the sum of its proper divisors (4023250279).

23000012113 is a wasteful number, since it uses less digits than its factorization.

23000012113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165541 (or 165524 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 23000012113 its reverse (31121000032), we get a palindrome (54121012145).

The spelling of 23000012113 in words is "twenty-three billion, twelve thousand, one hundred thirteen".

Divisors: 1 13 17 37 221 289 481 629 3757 8177 10693 139009 165457 2150941 2812769 6121909 36565997 47817073 79584817 104072453 621621949 1352941889 1769231701 23000012113