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10120540344 = 233421689181
BaseRepresentation
bin10010110110011101…
…10011000010111000
3222010022120201101120
421123032303002320
5131211324242334
64352130145240
7505540113345
oct113316630270
928108521346
1010120540344
114323865832
121b65422220
13c53973315
146c017d7cc
153e376d949
hex25b3b30b8

10120540344 has 16 divisors (see below), whose sum is σ = 25301350920. Its totient is φ = 3373513440.

The previous prime is 10120540307. The next prime is 10120540373. The reversal of 10120540344 is 44304502101.

10120540344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 421689181 = 10120540344 / (1 + 0 + 1 + 2 + 0 + 5 + 4 + 0 + 3 + 4 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210844567 + ... + 210844614.

Almost surely, 210120540344 is an apocalyptic number.

It is an amenable number.

10120540344 is an abundant number, since it is smaller than the sum of its proper divisors (15180810576).

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

10120540344 is a wasteful number, since it uses less digits than its factorization.

10120540344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421689190 (or 421689186 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 10120540344 in words is "ten billion, one hundred twenty million, five hundred forty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 421689181 843378362 1265067543 1686756724 2530135086 3373513448 5060270172 10120540344