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103031113200 = 243524310718661
BaseRepresentation
bin101111111110100100…
…0100000010111110000
3100211221102012211212120
41133331020200113300
53142001431110300
6115155402154240
710305131004141
oct1377510402760
9324842184776
10103031113200
113a771417334
1217b74ab2980
13993c798852
144db5845ac8
152a303c73a0
hex17fd2205f0

103031113200 has 240 divisors, whose sum is σ = 340892931456. Its totient is φ = 26583782400.

The previous prime is 103031113187. The next prime is 103031113217. The reversal of 103031113200 is 2311130301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103031113200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5511870 + ... + 5530530.

Almost surely, 2103031113200 is an apocalyptic number.

103031113200 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 103031113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170446465728).

103031113200 is an abundant number, since it is smaller than the sum of its proper divisors (237861818256).

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

103031113200 is a wasteful number, since it uses less digits than its factorization.

103031113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18832 (or 18821 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 103031113200 its reverse (2311130301), we get a palindrome (105342243501).

The spelling of 103031113200 in words is "one hundred three billion, thirty-one million, one hundred thirteen thousand, two hundred".