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23233223120031 = 3210314517554317
BaseRepresentation
bin1010100100001011010000…
…00000101101010010011111
310001021002000021011211110100
411102011220000231102133
511021123120104320111
6121225110110312143
74615354633054161
oct522055000552237
9101232007154410
1023233223120031
117448177842801
1227329074b8653
13cc6b6419ccc2
145a46cb766931
152a45395e1756
hex15216802d49f

23233223120031 has 24 divisors (see below), whose sum is σ = 33599147441184. Its totient is φ = 15470338726080.

The previous prime is 23233223119991. The next prime is 23233223120033. The reversal of 23233223120031 is 13002132233232.

23233223120031 is a `hidden beast` number, since 2 + 3 + 23 + 322 + 312 + 0 + 0 + 3 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-23233223120031 is a prime.

It is a super-2 number, since 2×232332231200312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23233223119977 and 23233223120004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233223120033) 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 23 ways as a sum of consecutive naturals, for example, 41636085 + ... + 42190401.

It is an arithmetic number, because the mean of its divisors is an integer number (1399964476716).

Almost surely, 223233223120031 is an apocalyptic number.

23233223120031 is a deficient number, since it is larger than the sum of its proper divisors (10365924321153).

23233223120031 is a wasteful number, since it uses less digits than its factorization.

23233223120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559871 (or 559868 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23233223120031 its reverse (13002132233232), we get a palindrome (36235355353263).

The spelling of 23233223120031 in words is "twenty-three trillion, two hundred thirty-three billion, two hundred twenty-three million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 9 1031 3093 4517 9279 13551 40653 554317 1662951 4657027 4988853 13971081 41913243 571500827 1714502481 2503849889 5143507443 7511549667 22534649001 2581469235559 7744407706677 23233223120031