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10400342123 = 291918772141
BaseRepresentation
bin10011010111110100…
…01010000001101011
3222211211002010021102
421223322022001223
5132244441421443
64440003232015
7515505310103
oct115372120153
928754063242
1010400342123
1144577a3a76
12202307860b
13c9991b6c2
147093b6203
1540d0dccb8
hex26be8a06b

10400342123 has 16 divisors (see below), whose sum is σ = 10832693760. Its totient is φ = 9973084800.

The previous prime is 10400342053. The next prime is 10400342137. The reversal of 10400342123 is 32124300401.

10400342123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10400342123 - 212 = 10400338027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10400342095 and 10400342104.

It is not an unprimeable number, because it can be changed into a prime (10400342023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4856633 + ... + 4858773.

It is an arithmetic number, because the mean of its divisors is an integer number (677043360).

Almost surely, 210400342123 is an apocalyptic number.

10400342123 is a deficient number, since it is larger than the sum of its proper divisors (432351637).

10400342123 is a wasteful number, since it uses less digits than its factorization.

10400342123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10400342123 its reverse (32124300401), we get a palindrome (42524642524).

The spelling of 10400342123 in words is "ten billion, four hundred million, three hundred forty-two thousand, one hundred twenty-three".

Divisors: 1 29 191 877 2141 5539 25433 62089 167507 408931 1877657 4857703 11858999 54452053 358632487 10400342123