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15130332126 = 23271370113177
BaseRepresentation
bin11100001011101011…
…01000101111011110
31110001110101111202100
432011311220233132
5221441331112001
610541211305530
71043641462320
oct160565505736
943043344670
1015130332126
116464750518
122b2314b2a6
13157184ca60
14a3766d610
155d84ab586
hex385d68bde

15130332126 has 96 divisors (see below), whose sum is σ = 40408175808. Its totient is φ = 3984422400.

The previous prime is 15130332103. The next prime is 15130332157. The reversal of 15130332126 is 62123303151.

15130332126 is a `hidden beast` number, since 15 + 1 + 303 + 321 + 26 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 15130332126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141650 + ... + 1154826.

It is an arithmetic number, because the mean of its divisors is an integer number (420918498).

Almost surely, 215130332126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15130332126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20204087904).

15130332126 is an abundant number, since it is smaller than the sum of its proper divisors (25277843682).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15130332126 is a wasteful number, since it uses less digits than its factorization.

15130332126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13906 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 15130332126 its reverse (62123303151), we get a palindrome (77253635277).

The spelling of 15130332126 in words is "fifteen billion, one hundred thirty million, three hundred thirty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 701 819 1402 1638 2103 4206 4907 6309 9113 9814 12618 13177 14721 18226 26354 27339 29442 39531 44163 54678 63791 79062 82017 88326 92239 118593 127582 164034 171301 184478 191373 237186 276717 342602 382746 513903 553434 574119 830151 1027806 1148238 1199107 1541709 1660302 2398214 3083418 3597321 7194642 9237077 10791963 18474154 21583926 27711231 55422462 64659539 83133693 120082001 129319078 166267386 193978617 240164002 360246003 387957234 581935851 720492006 840574007 1080738009 1163871702 1681148014 2161476018 2521722021 5043444042 7565166063 15130332126