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213122132310 = 23537192001921
BaseRepresentation
bin1100011001111100010…
…0011010100101010110
3202101002211220001222210
43012133010122211112
511442433231213220
6241523522534250
721253236143343
oct3063704324526
9671084801883
10213122132310
118242598444a
123537a207386
1317135ab34c9
14a45ab5d7ca
15582549d6e0
hex319f11a956

213122132310 has 32 divisors (see below), whose sum is σ = 525317258592. Its totient is φ = 55296552960.

The previous prime is 213122132231. The next prime is 213122132381. The reversal of 213122132310 is 13231221312.

213122132310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2131221323102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95999851 + ... + 96002070.

It is an arithmetic number, because the mean of its divisors is an integer number (16416164331).

Almost surely, 2213122132310 is an apocalyptic number.

213122132310 is an abundant number, since it is smaller than the sum of its proper divisors (312195126282).

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

213122132310 is a wasteful number, since it uses less digits than its factorization.

213122132310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192001968.

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

Adding to 213122132310 its reverse (13231221312), we get a palindrome (226353353622).

The spelling of 213122132310 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 192001921 384003842 576005763 960009605 1152011526 1920019210 2880028815 5760057630 7104071077 14208142154 21312213231 35520355385 42624426462 71040710770 106561066155 213122132310