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345221101122543 = 32372594113996361
BaseRepresentation
bin100111001111110100000110…
…1000110011111001111101111
31200021022211000002202111111100
41032133220031012133033233
5330222100303341410133
63222120215013254143
7132500254465036542
oct11637501506371757
91607284002674440
10345221101122543
119aaa84a07629a8
12328761b4334353
1311a82296912219
146136b0cdb2859
1529d9ed6995e13
hex139fa0d19f3ef

345221101122543 has 24 divisors (see below), whose sum is σ = 512131904017136. Its totient is φ = 223926281481600.

The previous prime is 345221101122529. The next prime is 345221101122581.

345221101122543 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 2 + 1 + 101 + 1 + 2 + 2 + 543 = 666.

345221101122543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345221101122543 - 218 = 345221100860399 is a prime.

It is a super-2 number, since 2×3452211011225432 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 345221101122498 and 345221101122507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345221101122143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84385683 + ... + 88382043.

Almost surely, 2345221101122543 is an apocalyptic number.

345221101122543 is a deficient number, since it is larger than the sum of its proper divisors (166910802894593).

345221101122543 is a wasteful number, since it uses less digits than its factorization.

345221101122543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4255815 (or 4255812 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 34522110 and 1122543, that added together give a palindrome (35644653).

The spelling of 345221101122543 in words is "three hundred forty-five trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, five hundred forty-three".

Divisors: 1 3 9 37 111 333 259411 778233 2334699 3996361 9598207 11989083 28794621 35967249 86383863 147865357 443596071 1330788213 1036700003371 3110100010113 9330300030339 38357900124727 115073700374181 345221101122543