Search a number
-
+
132151131120315 = 351671637308310453
BaseRepresentation
bin11110000011000011010101…
…001110100010001010111011
3122022220112011112201111222110
4132003003111032202022323
5114310131004031322230
61145021220323223403
736556414136426616
oct3603032516421273
9568815145644873
10132151131120315
113911aa8638763a
12129a3936517b63
135897a4b824568
14248c21271d17d
15104284a5d74b0
hex7830d53a22bb

132151131120315 has 64 divisors (see below), whose sum is σ = 212927270040576. Its totient is φ = 69986360550912.

The previous prime is 132151131120277. The next prime is 132151131120331. The reversal of 132151131120315 is 513021131151231.

It is not a de Polignac number, because 132151131120315 - 29 = 132151131119803 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12642406629 + ... + 12642417081.

It is an arithmetic number, because the mean of its divisors is an integer number (3326988594384).

Almost surely, 2132151131120315 is an apocalyptic number.

132151131120315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132151131120315 is a deficient number, since it is larger than the sum of its proper divisors (80776138920261).

132151131120315 is a wasteful number, since it uses less digits than its factorization.

132151131120315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15348.

The product of its (nonzero) digits is 2700, while the sum is 30.

Adding to 132151131120315 its reverse (513021131151231), we get a palindrome (645172262271546).

The spelling of 132151131120315 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, one hundred thirty-one million, one hundred twenty thousand, three hundred fifteen".

Divisors: 1 3 5 15 167 501 835 1637 2505 3083 4911 8185 9249 10453 15415 24555 31359 46245 52265 156795 273379 514861 820137 1366895 1544583 1745651 2574305 4100685 5046871 5236953 7722915 8728255 15140613 17111561 25234355 26184765 32226599 51334683 75703065 85557805 96679797 161132995 256673415 483398985 842827457 2528482371 2857630687 4214137285 5381842033 8572892061 12642411855 14288153435 16145526099 26909210165 42864460305 52754942563 80727630495 158264827689 263774712815 791324138445 8810075408021 26430226224063 44050377040105 132151131120315