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10124032340 = 225506201617
BaseRepresentation
bin10010110110111000…
…00111100101010100
3222010120011010111202
421123130013211110
5131213223013330
64352333052032
7505611566162
oct113334074524
928116133452
1010124032340
114325830384
121b66627018
13c545c68a6
146c080c232
153e3c0d445
hex25b707954

10124032340 has 12 divisors (see below), whose sum is σ = 21260467956. Its totient is φ = 4049612928.

The previous prime is 10124032339. The next prime is 10124032349. The reversal of 10124032340 is 4323042101.

10124032340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3323061316 + 6800971024 = 57646^2 + 82468^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 506201617 = 10124032340 / (1 + 0 + 1 + 2 + 4 + 0 + 3 + 2 + 3 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124032349) 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 3 ways as a sum of consecutive naturals, for example, 253100789 + ... + 253100828.

It is an arithmetic number, because the mean of its divisors is an integer number (1771705663).

Almost surely, 210124032340 is an apocalyptic number.

10124032340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10124032340 is an abundant number, since it is smaller than the sum of its proper divisors (11136435616).

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

10124032340 is a wasteful number, since it uses less digits than its factorization.

10124032340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506201626 (or 506201624 counting only the distinct ones).

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

Adding to 10124032340 its reverse (4323042101), we get a palindrome (14447074441).

The spelling of 10124032340 in words is "ten billion, one hundred twenty-four million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 506201617 1012403234 2024806468 2531008085 5062016170 10124032340