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105572332340 = 2255278616617
BaseRepresentation
bin110001001010010011…
…0011111001100110100
3101002111111222011011222
41202110212133030310
53212203004113330
6120255501245512
710425116006246
oct1422446371464
9332444864158
10105572332340
1140855913942
1218563b63898
139c560ca707
145177146096
152b2d5460e5
hex189499f334

105572332340 has 12 divisors (see below), whose sum is σ = 221701897956. Its totient is φ = 42228932928.

The previous prime is 105572332301. The next prime is 105572332363. The reversal of 105572332340 is 43233275501.

It can be written as a sum of positive squares in 2 ways, for example, as 26899936144 + 78672396196 = 164012^2 + 280486^2 .

It is a super-2 number, since 2×1055723323402 (a number of 23 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 105572332340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2639308289 + ... + 2639308328.

It is an arithmetic number, because the mean of its divisors is an integer number (18475158163).

Almost surely, 2105572332340 is an apocalyptic number.

105572332340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105572332340 is an abundant number, since it is smaller than the sum of its proper divisors (116129565616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105572332340 is a wasteful number, since it uses less digits than its factorization.

105572332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5278616626 (or 5278616624 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 35.

The spelling of 105572332340 in words is "one hundred five billion, five hundred seventy-two million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 5278616617 10557233234 21114466468 26393083085 52786166170 105572332340