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23301131031 = 3324113812593
BaseRepresentation
bin10101101100110110…
…110000101100010111
32020010220012002201000
4111230312300230113
5340210042143111
614412052034343
71453265226423
oct255466605427
966126162630
1023301131031
119977976692
1246236029b3
1322745949c9
1411b08b7b83
15915993c56
hex56cdb0b17

23301131031 has 32 divisors (see below), whose sum is σ = 34701909440. Its totient is φ = 15452467200.

The previous prime is 23301130991. The next prime is 23301131069. The reversal of 23301131031 is 13013110332.

It is a happy number.

23301131031 is a `hidden beast` number, since 23 + 301 + 1 + 310 + 31 = 666.

It is not a de Polignac number, because 23301131031 - 29 = 23301130519 is a prime.

It is a super-2 number, since 2×233011310312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23301130995 and 23301131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23301131081) 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 31 ways as a sum of consecutive naturals, for example, 8984871 + ... + 8987463.

It is an arithmetic number, because the mean of its divisors is an integer number (1084434670).

Almost surely, 223301131031 is an apocalyptic number.

23301131031 is a deficient number, since it is larger than the sum of its proper divisors (11400778409).

23301131031 is a wasteful number, since it uses less digits than its factorization.

23301131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 23301131031 its reverse (13013110332), we get a palindrome (36314241363).

The spelling of 23301131031 in words is "twenty-three billion, three hundred one million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 27 241 723 1381 2169 2593 4143 6507 7779 12429 23337 37287 70011 332821 624913 998463 1874739 2995389 3580933 5624217 8986167 10742799 16872651 32228397 96685191 863004853 2589014559 7767043677 23301131031