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10400231233 = 72732907529
BaseRepresentation
bin10011010111110011…
…01110111101000001
3222211210212111011101
421223321232331001
5132244424344413
64440001014401
7515504335600
oct115371567501
928753774141
1010400231233
114457728727
122023024401
13c998b00a2
14709387a37
1540d0b9edd
hex26be6ef41

10400231233 has 12 divisors (see below), whose sum is σ = 12263961540. Its totient is φ = 8792364672.

The previous prime is 10400231213. The next prime is 10400231269. The reversal of 10400231233 is 33213200401.

It can be written as a sum of positive squares in 2 ways, for example, as 5137018929 + 5263212304 = 71673^2 + 72548^2 .

It is not a de Polignac number, because 10400231233 - 25 = 10400231201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10400231233.

It is not an unprimeable number, because it can be changed into a prime (10400231213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1450188 + ... + 1457341.

It is an arithmetic number, because the mean of its divisors is an integer number (1021996795).

Almost surely, 210400231233 is an apocalyptic number.

It is an amenable number.

10400231233 is a deficient number, since it is larger than the sum of its proper divisors (1863730307).

10400231233 is an equidigital number, since it uses as much as digits as its factorization.

10400231233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907616 (or 2907609 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10400231233 its reverse (33213200401), we get a palindrome (43613431634).

The spelling of 10400231233 in words is "ten billion, four hundred million, two hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 7 49 73 511 3577 2907529 20352703 142468921 212249617 1485747319 10400231233