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10113023232 = 283313241467
BaseRepresentation
bin10010110101100100…
…00111110100000000
3222002210102210212000
421122302013310000
5131202413220412
64351301104000
7505416164514
oct113262076400
928083383760
1010113023232
11431a5a1044
121b629b8000
13c52240920
146bd184144
153e2c864dc
hex25ac87d00

10113023232 has 288 divisors, whose sum is σ = 32409336960. Its totient is φ = 3092152320.

The previous prime is 10113023159. The next prime is 10113023269. The reversal of 10113023232 is 23232031101.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21655063 + ... + 21655529.

It is an arithmetic number, because the mean of its divisors is an integer number (112532420).

Almost surely, 210113023232 is an apocalyptic number.

10113023232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16204668480).

10113023232 is an abundant number, since it is smaller than the sum of its proper divisors (22296313728).

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

10113023232 is a wasteful number, since it uses less digits than its factorization.

10113023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10113023232 its reverse (23232031101), we get a palindrome (33345054333).

The spelling of 10113023232 in words is "ten billion, one hundred thirteen million, twenty-three thousand, two hundred thirty-two".