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313341222143313 = 327133710340270671
BaseRepresentation
bin100011100111110110111000…
…0001111010100010101010001
31112002110010110112002222211100
41013033231300033110111101
5312032240310332041223
63030230545323335013
7123000104405560020
oct10717556017242521
91462403415088740
10313341222143313
11909272a2124951
122b187765381469
13105abc482196c0
145753b205c28b7
152635ace5ed043
hex11cfb703d4551

313341222143313 has 48 divisors (see below), whose sum is σ = 572106495740416. Its totient is φ = 160811889459840.

The previous prime is 313341222143273. The next prime is 313341222143317.

313341222143313 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 4 + 122 + 214 + 3 + 313 = 666.

313341222143313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313341222143313 - 213 = 313341222135121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313341222143317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5170105033 + ... + 5170165638.

Almost surely, 2313341222143313 is an apocalyptic number.

It is an amenable number.

313341222143313 is a deficient number, since it is larger than the sum of its proper divisors (258765273597103).

313341222143313 is a wasteful number, since it uses less digits than its factorization.

313341222143313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10340270734 (or 10340270731 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 313341222143313 in words is "three hundred thirteen trillion, three hundred forty-one billion, two hundred twenty-two million, one hundred forty-three thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 333 481 777 819 1443 2331 3367 4329 10101 30303 10340270671 31020812013 72381894697 93062436039 134423518723 217145684091 382590014827 403270556169 651437052273 940964631061 1147770044481 1209811668507 2678130103789 2822893893183 3443310133443 4973670192751 8034390311367 8468681679549 14921010578253 24103170934101 34815691349257 44763031734759 104447074047771 313341222143313