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10113232416 = 2537971131373
BaseRepresentation
bin10010110101100101…
…11010111000100000
3222002210211102210120
421122302322320200
5131202441414131
64351305400240
7505421025420
oct113262727040
928083742716
1010113232416
11431a724221
121b62a99080
13c522b4bc1
146bd1da480
153e2cc8496
hex25acbae20

10113232416 has 192 divisors, whose sum is σ = 30946261248. Its totient is φ = 2832334848.

The previous prime is 10113232397. The next prime is 10113232427. The reversal of 10113232416 is 61423231101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 7365106 + ... + 7366478.

It is an arithmetic number, because the mean of its divisors is an integer number (161178444).

Almost surely, 210113232416 is an apocalyptic number.

10113232416 is a gapful number since it is divisible by the number (16) 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 10113232416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15473130624).

10113232416 is an abundant number, since it is smaller than the sum of its proper divisors (20833028832).

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

10113232416 is a wasteful number, since it uses less digits than its factorization.

10113232416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10113232416 its reverse (61423231101), we get a palindrome (71536463517).

The spelling of 10113232416 in words is "ten billion, one hundred thirteen million, two hundred thirty-two thousand, four hundred sixteen".