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10130374800 = 243252713172107
BaseRepresentation
bin10010110111101000…
…10100000010010000
3222011000002100201200
421123310110002100
5131221333443200
64353121031200
7506016523260
oct113364240220
928130070650
1010130374800
114329372587
121b68785500
13c55a07720
146c15bd7a0
153e4562800
hex25bd14090

10130374800 has 1080 divisors, whose sum is σ = 46392405696. Its totient is φ = 1992867840.

The previous prime is 10130374789. The next prime is 10130374811. The reversal of 10130374800 is 847303101.

It is an interprime number because it is at equal distance from previous prime (10130374789) and next prime (10130374811).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 94676347 + ... + 94676453.

Almost surely, 210130374800 is an apocalyptic number.

10130374800 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 10130374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23196202848).

10130374800 is an abundant number, since it is smaller than the sum of its proper divisors (36262030896).

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

10130374800 is a wasteful number, since it uses less digits than its factorization.

10130374800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10130374800 its reverse (847303101), we get a palindrome (10977677901).

The spelling of 10130374800 in words is "ten billion, one hundred thirty million, three hundred seventy-four thousand, eight hundred".