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10231525344 = 25317233753139
BaseRepresentation
bin10011000011101100…
…01010111111100000
3222102001102100012010
421201312022333200
5131423232302334
64411133032520
7511355346645
oct114166127740
928361370163
1010231525344
11438047a477
121b96625740
13c70961b11
146d0bcddcc
153ed3930e9
hex261d8afe0

10231525344 has 384 divisors, whose sum is σ = 31274449920. Its totient is φ = 2909896704.

The previous prime is 10231525333. The next prime is 10231525349. The reversal of 10231525344 is 44352513201.

10231525344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102315253442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10231525349) 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 63 ways as a sum of consecutive naturals, for example, 73608027 + ... + 73608165.

It is an arithmetic number, because the mean of its divisors is an integer number (81443880).

Almost surely, 210231525344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10231525344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15637224960).

10231525344 is an abundant number, since it is smaller than the sum of its proper divisors (21042924576).

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

10231525344 is a wasteful number, since it uses less digits than its factorization.

10231525344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10231525344 in words is "ten billion, two hundred thirty-one million, five hundred twenty-five thousand, three hundred forty-four".