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213120010323 = 32113758181821
BaseRepresentation
bin1100011001111011110…
…0010100100001010011
3202101002200220021011200
43012132330110201103
511442432210312243
6241523405242243
721253212124653
oct3063674244123
9671080807150
10213120010323
1182424765140
1235379563383
131713551c6ac
14a45a76a363
1558251cead3
hex319ef14853

213120010323 has 24 divisors (see below), whose sum is σ = 344901840816. Its totient is φ = 125672731200.

The previous prime is 213120010319. The next prime is 213120010339. The reversal of 213120010323 is 323010021312.

213120010323 is a `hidden beast` number, since 2 + 131 + 200 + 10 + 323 = 666.

213120010323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213120010323 - 22 = 213120010319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213120010296 and 213120010305.

It is not an unprimeable number, because it can be changed into a prime (213120010423) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 29087248 + ... + 29094573.

It is an arithmetic number, because the mean of its divisors is an integer number (14370910034).

Almost surely, 2213120010323 is an apocalyptic number.

213120010323 is a deficient number, since it is larger than the sum of its proper divisors (131781830493).

213120010323 is a wasteful number, since it uses less digits than its factorization.

213120010323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58181875 (or 58181872 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213120010323 its reverse (323010021312), we get a palindrome (536130031635).

The spelling of 213120010323 in words is "two hundred thirteen billion, one hundred twenty million, ten thousand, three hundred twenty-three".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 58181821 174545463 523636389 640000031 1920000093 2152727377 5760000279 6458182131 19374546393 23680001147 71040003441 213120010323