Search a number
-
+
213112111304 = 233710119733613
BaseRepresentation
bin1100011001111001111…
…0001100000011001000
3202101002011000221202102
43012132132030003020
511442423200030204
6241522524052532
721253055025521
oct3063636140310
9671064027672
10213112111304
118242025a524
1235376994148
13171339b5211
14a4596b1848
15582466e41e
hex319e78c0c8

213112111304 has 64 divisors (see below), whose sum is σ = 414772853040. Its totient is φ = 102569241600.

The previous prime is 213112111291. The next prime is 213112111307. The reversal of 213112111304 is 403111211312.

It can be written as a sum of positive squares in 8 ways, for example, as 104012700100 + 109099411204 = 322510^2 + 330302^2 .

It is not an unprimeable number, because it can be changed into a prime (213112111307) by changing a digit.

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, 58983002 + ... + 58986614.

Almost surely, 2213112111304 is an apocalyptic number.

It is an amenable number.

213112111304 is a deficient number, since it is larger than the sum of its proper divisors (201660741736).

213112111304 is a wasteful number, since it uses less digits than its factorization.

213112111304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 213112111304 its reverse (403111211312), we get a palindrome (616223322616).

The spelling of 213112111304 in words is "two hundred thirteen billion, one hundred twelve million, one hundred eleven thousand, three hundred four".

Divisors: 1 2 4 8 37 74 101 148 202 296 404 808 1973 3613 3737 3946 7226 7474 7892 14452 14948 15784 28904 29896 73001 133681 146002 199273 267362 292004 364913 398546 534724 584008 729826 797092 1069448 1459652 1594184 2919304 7128449 7373101 13501781 14256898 14746202 27003562 28513796 29492404 54007124 57027592 58984808 108014248 263752613 527505226 719973349 1055010452 1439946698 2110020904 2879893396 5759786792 26639013913 53278027826 106556055652 213112111304