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10400123430 = 2325115556927
BaseRepresentation
bin10011010111110010…
…10100101000100110
3222211210200000021200
421223321110220212
5132244412422210
64435554423330
7515503406364
oct115371245046
928753600250
1010400123430
114457664734
122022b91b46
13c99872cb8
1470935a634
1540d0980c0
hex26be54a26

10400123430 has 24 divisors (see below), whose sum is σ = 27040321152. Its totient is φ = 2773366224.

The previous prime is 10400123413. The next prime is 10400123453. The reversal of 10400123430 is 3432100401.

10400123430 is a `hidden beast` number, since 1 + 0 + 400 + 1 + 234 + 30 = 666.

10400123430 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 (18).

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 11 ways as a sum of consecutive naturals, for example, 57778374 + ... + 57778553.

It is an arithmetic number, because the mean of its divisors is an integer number (1126680048).

Almost surely, 210400123430 is an apocalyptic number.

10400123430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400123430 is an abundant number, since it is smaller than the sum of its proper divisors (16640197722).

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

10400123430 is a wasteful number, since it uses less digits than its factorization.

10400123430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115556940 (or 115556937 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10400123430 its reverse (3432100401), we get a palindrome (13832223831).

The spelling of 10400123430 in words is "ten billion, four hundred million, one hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 115556927 231113854 346670781 577784635 693341562 1040012343 1155569270 1733353905 2080024686 3466707810 5200061715 10400123430