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10345522145 = 57255737577
BaseRepresentation
bin10011010001010010…
…00010001111100001
3222200222220222101212
421220221002033201
5132141423202040
64430324235505
7514241326100
oct115051021741
928628828355
1010345522145
114429860a02
12200883bb95
13c8b46644a
14701dc6037
154083aed65
hex268a423e1

10345522145 has 24 divisors (see below), whose sum is σ = 14446002024. Its totient is φ = 7091863296.

The previous prime is 10345522133. The next prime is 10345522181. The reversal of 10345522145 is 54122554301.

It can be written as a sum of positive squares in 4 ways, for example, as 1015314496 + 9330207649 = 31864^2 + 96593^2 .

It is not a de Polignac number, because 10345522145 - 24 = 10345522129 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1361597 + ... + 1369173.

It is an arithmetic number, because the mean of its divisors is an integer number (601916751).

Almost surely, 210345522145 is an apocalyptic number.

It is an amenable number.

10345522145 is a deficient number, since it is larger than the sum of its proper divisors (4100479879).

10345522145 is an equidigital number, since it uses as much as digits as its factorization.

10345522145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13169 (or 13162 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 10345522145 in words is "ten billion, three hundred forty-five million, five hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 5 7 35 49 245 5573 7577 27865 37885 39011 53039 195055 265195 273077 371273 1365385 1856365 42226621 211133105 295586347 1477931735 2069104429 10345522145