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213344020521 = 32192137758363
BaseRepresentation
bin1100011010110001001…
…0110110100000101001
3202101200022102011101200
43012230102312200221
511443412032124041
6242001530434413
721261602152632
oct3065422664051
9671608364350
10213344020521
118252a157335
1235420592a09
131716ca624c8
14a47c3dc889
155839bcd1b6
hex31ac4b6829

213344020521 has 24 divisors (see below), whose sum is σ = 324403453920. Its totient is φ = 134734980096.

The previous prime is 213344020451. The next prime is 213344020523. The reversal of 213344020521 is 125020443312.

213344020521 is a `hidden beast` number, since 2 + 13 + 3 + 440 + 205 + 2 + 1 = 666.

It is not a de Polignac number, because 213344020521 - 29 = 213344020009 is a prime.

It is a super-2 number, since 2×2133440205212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213344020523) 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 23 ways as a sum of consecutive naturals, for example, 3626286 + ... + 3684648.

It is an arithmetic number, because the mean of its divisors is an integer number (13516810580).

Almost surely, 2213344020521 is an apocalyptic number.

It is an amenable number.

213344020521 is a deficient number, since it is larger than the sum of its proper divisors (111059433399).

213344020521 is a wasteful number, since it uses less digits than its factorization.

213344020521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79765 (or 79762 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 213344020521 its reverse (125020443312), we get a palindrome (338364463833).

The spelling of 213344020521 in words is "two hundred thirteen billion, three hundred forty-four million, twenty thousand, five hundred twenty-one".

Divisors: 1 3 9 19 57 171 21377 58363 64131 175089 192393 406163 525267 1108897 1218489 3326691 3655467 9980073 1247625851 3742877553 11228632659 23704891169 71114673507 213344020521