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103332130013 = 71729431275483
BaseRepresentation
bin110000000111100010…
…0110010110011011101
3100212201101122002022102
41200033010302303131
53143111011130023
6115245314054445
710315444420160
oct1401704626335
9325641562272
10103332130013
113a906325762
121803987a425
139989c613c8
145003801ad7
152a4ba37628
hex180f132cdd

103332130013 has 64 divisors (see below), whose sum is σ = 133427036160. Its totient is φ = 77980879872.

The previous prime is 103332130009. The next prime is 103332130123. The reversal of 103332130013 is 310031233301.

It is not a de Polignac number, because 103332130013 - 22 = 103332130009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103332130003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18843170 + ... + 18848652.

It is an arithmetic number, because the mean of its divisors is an integer number (2084797440).

Almost surely, 2103332130013 is an apocalyptic number.

It is an amenable number.

103332130013 is a deficient number, since it is larger than the sum of its proper divisors (30094906147).

103332130013 is a wasteful number, since it uses less digits than its factorization.

103332130013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5706.

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

Adding to 103332130013 its reverse (310031233301), we get a palindrome (413363363314).

The spelling of 103332130013 in words is "one hundred three billion, three hundred thirty-two million, one hundred thirty thousand, thirteen".

Divisors: 1 7 17 29 43 119 127 203 301 493 731 889 1247 2159 3451 3683 5117 5461 5483 8729 15113 21199 25781 38227 38381 62611 92837 93211 148393 158369 159007 235769 438277 649859 652477 696341 1108583 1113049 1650383 2692273 2703119 4008073 4874387 6837301 11837797 18845911 18921833 20193889 28056511 29942663 47861107 82864579 116234117 141357223 209598641 343296113 509025271 813638819 868337227 2403072791 3563176897 6078360589 14761732859 103332130013