Search a number
-
+
132105454013351 = 71329257194781737
BaseRepresentation
bin11110000010011000110010…
…101010001100101110100111
3122022202011021020012001210002
4132002120302222030232213
5114303403432211411401
61144544224024251515
736553206205425560
oct3602306252145647
9568664236161702
10132105454013351
1139102676899065
1212996b09310b9b
13589364c55b210
142489d1c195167
1510415754e9a6b
hex782632a8cba7

132105454013351 has 32 divisors (see below), whose sum is σ = 168852393037440. Its totient is φ = 100526074822656.

The previous prime is 132105454013347. The next prime is 132105454013359. The reversal of 132105454013351 is 153310454501231.

It is not a de Polignac number, because 132105454013351 - 22 = 132105454013347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132105454013359) 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, 96712646 + ... + 98069091.

It is an arithmetic number, because the mean of its divisors is an integer number (5276637282420).

Almost surely, 2132105454013351 is an apocalyptic number.

132105454013351 is a deficient number, since it is larger than the sum of its proper divisors (36746939024089).

132105454013351 is a wasteful number, since it uses less digits than its factorization.

132105454013351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194782043.

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 132105454013351 in words is "one hundred thirty-two trillion, one hundred five billion, four hundred fifty-four million, thirteen thousand, three hundred fifty-one".

Divisors: 1 7 13 29 91 203 257 377 1799 2639 3341 7453 23387 52171 96889 678223 194781737 1363472159 2532162581 5648670373 17725138067 39540692611 50058906409 73432714849 350412344863 514029003943 650765783317 1451708285861 4555360483219 10161958001027 18872207716193 132105454013351