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213132130320 = 24351609551927
BaseRepresentation
bin1100011001111110101…
…0100011100000010000
3202101010112201000200110
43012133222203200100
511442443311132240
6241524521121320
721253420134144
oct3063752434020
9671115630613
10213132130320
118243059306a
1235381629240
1317137ba41a5
14a45c203224
1558262c5c80
hex319faa3810

213132130320 has 80 divisors (see below), whose sum is σ = 661121435520. Its totient is φ = 56799808512.

The previous prime is 213132130307. The next prime is 213132130373. The reversal of 213132130320 is 23031231312.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110197 + ... + 662123.

It is an arithmetic number, because the mean of its divisors is an integer number (8264017944).

Almost surely, 2213132130320 is an apocalyptic number.

213132130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132130320 is an abundant number, since it is smaller than the sum of its proper divisors (447989305200).

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

213132130320 is a wasteful number, since it uses less digits than its factorization.

213132130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553552 (or 553546 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213132130320 its reverse (23031231312), we get a palindrome (236163361632).

The spelling of 213132130320 in words is "two hundred thirteen billion, one hundred thirty-two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1609 3218 4827 6436 8045 9654 12872 16090 19308 24135 25744 32180 38616 48270 64360 77232 96540 128720 193080 386160 551927 1103854 1655781 2207708 2759635 3311562 4415416 5519270 6623124 8278905 8830832 11038540 13246248 16557810 22077080 26492496 33115620 44154160 66231240 132462480 888050543 1776101086 2664151629 3552202172 4440252715 5328303258 7104404344 8880505430 10656606516 13320758145 14208808688 17761010860 21313213032 26641516290 35522021720 42626426064 53283032580 71044043440 106566065160 213132130320