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345067441131 = 37181820911059
BaseRepresentation
bin1010000010101111001…
…11110100101111101011
31012222200100021020122110
411001113213310233223
521123144231104011
6422304412453403
733634043566110
oct5012747645753
91188610236573
10345067441131
11123384635916
1256a6247a263
13267029c393a
14129b6728907
158e98ebeba6
hex50579f4beb

345067441131 has 32 divisors (see below), whose sum is σ = 528834342400. Its totient is φ = 196050378240.

The previous prime is 345067441079. The next prime is 345067441153. The reversal of 345067441131 is 131144760543.

It is not a de Polignac number, because 345067441131 - 227 = 344933223403 is a prime.

It is a super-2 number, since 2×3450674411312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345067441131.

It is not an unprimeable number, because it can be changed into a prime (345067441171) 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, 31196880 + ... + 31207938.

It is an arithmetic number, because the mean of its divisors is an integer number (16526073200).

Almost surely, 2345067441131 is an apocalyptic number.

345067441131 is a deficient number, since it is larger than the sum of its proper divisors (183766901269).

345067441131 is a wasteful number, since it uses less digits than its factorization.

345067441131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19459.

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 345067441131 in words is "three hundred forty-five billion, sixty-seven million, four hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 21 181 543 1267 3801 8209 11059 24627 33177 57463 77413 172389 232239 1485829 2001679 4457487 6005037 10400803 14011753 31202409 42035259 90783331 272349993 635483317 1906449951 16431782911 49295348733 115022480377 345067441131