Search a number
-
+
132124310030112 = 25371128315108679
BaseRepresentation
bin11110000010101010010110…
…100100001100011100100000
3122022210221221100002222001020
4132002222112210030130200
5114304211041331430422
61145001023050205440
736554444400061431
oct3602522644143440
9568727840088036
10132124310030112
113910a6725a1594
121299a6b0123880
135895365c2559a
14248abca56d488
151041ccaae295c
hex782a9690c720

132124310030112 has 96 divisors (see below), whose sum is σ = 351985346657280. Its totient is φ = 43387288439040.

The previous prime is 132124310030101. The next prime is 132124310030201. The reversal of 132124310030112 is 211030013421231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1190589 + ... + 16299267.

It is an arithmetic number, because the mean of its divisors is an integer number (3666514027680).

Almost surely, 2132124310030112 is an apocalyptic number.

132124310030112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132124310030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175992673328640).

132124310030112 is an abundant number, since it is smaller than the sum of its proper divisors (219861036627168).

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

132124310030112 is a wasteful number, since it uses less digits than its factorization.

132124310030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15110046 (or 15110038 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 132124310030112 its reverse (211030013421231), we get a palindrome (343154323451343).

The spelling of 132124310030112 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, three hundred ten million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1283 1704 2272 2566 3408 3849 5132 6816 7698 10264 15396 20528 30792 41056 61584 91093 123168 182186 273279 364372 546558 728744 1093116 1457488 2186232 2914976 4372464 8744928 15108679 30217358 45326037 60434716 90652074 120869432 181304148 241738864 362608296 483477728 725216592 1072716209 1450433184 2145432418 3218148627 4290864836 6436297254 8581729672 12872594508 17163459344 19384435157 25745189016 34326918688 38768870314 51490378032 58153305471 77537740628 102980756064 116306610942 155075481256 232613221884 310150962512 465226443768 620301925024 930452887536 1376294896147 1860905775072 2752589792294 4128884688441 5505179584588 8257769376882 11010359169176 16515538753764 22020718338352 33031077507528 44041436676704 66062155015056 132124310030112