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10010315700 = 2232527111729293
BaseRepresentation
bin10010101001010100…
…10100101110110100
3221211122011201121100
421110222110232310
5131000120100300
64333151450100
7503031164610
oct112452245664
927748151540
1010010315700
114277620390
121b34526930
13c36b8c938
146ad68a340
153d8c49700
hex254a94bb4

10010315700 has 864 divisors, whose sum is σ = 42994748160. Its totient is φ = 1883750400.

The previous prime is 10010315663. The next prime is 10010315743. The reversal of 10010315700 is 751301001.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 34164754 + ... + 34165046.

It is an arithmetic number, because the mean of its divisors is an integer number (49762440).

Almost surely, 210010315700 is an apocalyptic number.

10010315700 is a gapful number since it is divisible by the number (10) 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 10010315700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21497374080).

10010315700 is an abundant number, since it is smaller than the sum of its proper divisors (32984432460).

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

10010315700 is a wasteful number, since it uses less digits than its factorization.

10010315700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

Adding to 10010315700 its reverse (751301001), we get a palindrome (10761616701).

The spelling of 10010315700 in words is "ten billion, ten million, three hundred fifteen thousand, seven hundred".