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223130102331321 = 3320443404249761
BaseRepresentation
bin110010101110111110000110…
…011111001111011110111001
31002021001000210110212001111000
4302232332012133033132321
5213221230422144100241
62110320315351355213
764666421641223103
oct6256760637173671
91067030713761430
10223130102331321
1165106a4385a229
1221038137982b09
139767103225cc3
143d157a9a80573
151abe1d5492eb6
hexcaef867cf7b9

223130102331321 has 16 divisors (see below), whose sum is σ = 330579285373120. Its totient is φ = 148746124690560.

The previous prime is 223130102331289. The next prime is 223130102331337. The reversal of 223130102331321 is 123133201031322.

223130102331321 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 3 + 0 + 1 + 0 + 2 + 331 + 321 = 666.

It is not a de Polignac number, because 223130102331321 - 25 = 223130102331289 is a prime.

It is a super-3 number, since 3×2231301023313213 (a number of 44 digits) contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223130102381321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201572920 + ... + 202676841.

It is an arithmetic number, because the mean of its divisors is an integer number (20661205335820).

Almost surely, 2223130102331321 is an apocalyptic number.

It is an amenable number.

223130102331321 is a deficient number, since it is larger than the sum of its proper divisors (107449183041799).

223130102331321 is a wasteful number, since it uses less digits than its factorization.

223130102331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404270213 (or 404270207 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 223130102331321 its reverse (123133201031322), we get a palindrome (346263303362643).

The spelling of 223130102331321 in words is "two hundred twenty-three trillion, one hundred thirty billion, one hundred two million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 20443 61329 183987 551961 404249761 1212749283 3638247849 10914743547 8264077864123 24792233592369 74376700777107 223130102331321