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2133213230313 = 331141917142091
BaseRepresentation
bin11111000010101101011…
…010101011010011101001
321112221012022001002221000
4133002231122223103221
5234422310041332223
64311552402505213
7310056004164564
oct37025532532351
97487168032830
102133213230313
1175276628a460
122a5520965209
1312621305a6c9
14753689c94db
153a752ea4543
hex1f0ad6ab4e9

2133213230313 has 32 divisors (see below), whose sum is σ = 3455845747200. Its totient is φ = 1289770851600.

The previous prime is 2133213230261. The next prime is 2133213230353. The reversal of 2133213230313 is 3130323123312.

2133213230313 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 21 + 323 + 0 + 313 = 666.

It is not a de Polignac number, because 2133213230313 - 29 = 2133213229801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2133213230353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8446603 + ... + 8695488.

It is an arithmetic number, because the mean of its divisors is an integer number (107995179600).

Almost surely, 22133213230313 is an apocalyptic number.

It is an amenable number.

2133213230313 is a deficient number, since it is larger than the sum of its proper divisors (1322632516887).

2133213230313 is a wasteful number, since it uses less digits than its factorization.

2133213230313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17142530 (or 17142524 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 2133213230313 its reverse (3130323123312), we get a palindrome (5263536353625).

The spelling of 2133213230313 in words is "two trillion, one hundred thirty-three billion, two hundred thirteen million, two hundred thirty thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 99 297 419 1257 3771 4609 11313 13827 41481 124443 17142091 51426273 154278819 188563001 462836457 565689003 1697067009 5091201027 7182536129 21547608387 64642825161 79007897419 193928475483 237023692257 711071076771 2133213230313