Search a number
-
+
32100132302112 = 2537269177576409
BaseRepresentation
bin1110100110001111001001…
…11110111010110100100000
311012122202001102010121002010
413103013210332322310200
513201412032332131422
6152134332554552520
76522105126412230
oct723074476726440
9135582042117063
1032100132302112
11a256653921526
123725279438740
1314bb04ca26614
147cd924699cc0
153a9ee8926b0c
hex1d31e4fbad20

32100132302112 has 96 divisors (see below), whose sum is σ = 96658391491200. Its totient is φ = 9137371650048.

The previous prime is 32100132302093. The next prime is 32100132302129. The reversal of 32100132302112 is 21120323100123.

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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88607437 + ... + 88968972.

It is an arithmetic number, because the mean of its divisors is an integer number (1006858244700).

Almost surely, 232100132302112 is an apocalyptic number.

32100132302112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32100132302112 is an abundant number, since it is smaller than the sum of its proper divisors (64558259189088).

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

32100132302112 is a wasteful number, since it uses less digits than its factorization.

32100132302112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177576698 (or 177576690 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 32100132302112 its reverse (21120323100123), we get a palindrome (53220455402235).

The spelling of 32100132302112 in words is "thirty-two trillion, one hundred billion, one hundred thirty-two million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 269 336 538 672 807 1076 1614 1883 2152 3228 3766 4304 5649 6456 7532 8608 11298 12912 15064 22596 25824 30128 45192 60256 90384 180768 177576409 355152818 532729227 710305636 1065458454 1243034863 1420611272 2130916908 2486069726 2841222544 3729104589 4261833816 4972139452 5682445088 7458209178 8523667632 9944278904 14916418356 17047335264 19888557808 29832836712 39777115616 47768054021 59665673424 95536108042 119331346848 143304162063 191072216084 286608324126 334376378147 382144432168 573216648252 668752756294 764288864336 1003129134441 1146433296504 1337505512588 1528577728672 2006258268882 2292866593008 2675011025176 4012516537764 4585733186016 5350022050352 8025033075528 10700044100704 16050066151056 32100132302112