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130023011131 = 13234195092039
BaseRepresentation
bin111100100010111111…
…0011011001100111011
3110102121112020022221221
41321011332123030323
54112241342324011
6135422020212511
712252043234126
oct1710576331473
9412545208857
10130023011131
11501626667a2
122124853a137
13c3518a06a0
1464165793bd
1535aedab971
hex1e45f9b33b

130023011131 has 32 divisors (see below), whose sum is σ = 146821248000. Its totient is φ = 114247867008.

The previous prime is 130023011117. The next prime is 130023011143. The reversal of 130023011131 is 131110320031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130023011131 is a prime.

It is a super-2 number, since 2×1300230111312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130023011431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63767010 + ... + 63769048.

It is an arithmetic number, because the mean of its divisors is an integer number (4588164000).

Almost surely, 2130023011131 is an apocalyptic number.

130023011131 is a deficient number, since it is larger than the sum of its proper divisors (16798236869).

130023011131 is a wasteful number, since it uses less digits than its factorization.

130023011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 130023011131 its reverse (131110320031), we get a palindrome (261133331162).

The spelling of 130023011131 in words is "one hundred thirty billion, twenty-three million, eleven thousand, one hundred thirty-one".

Divisors: 1 13 23 299 419 509 2039 5447 6617 9637 11707 26507 46897 125281 152191 213271 609661 854341 1037851 2772523 4905233 11106433 13492063 19649843 23870573 63768029 255447959 310317449 434859569 5653174397 10001770087 130023011131