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10112313031200 = 25325237101375833
BaseRepresentation
bin1001001100100111010011…
…0100110111101000100000
31022210201122111000101111200
42103021310310313220200
52311140004113444300
633301311003041200
72062406354352042
oct223116464675040
938721574011450
1010112313031200
113249676095766
121173a01210200
13584782910a33
1426d61d5b3a92
151280a0133200
hex93274d37a20

10112313031200 has 432 divisors, whose sum is σ = 36984983575176. Its totient is φ = 2597750784000.

The previous prime is 10112313031193. The next prime is 10112313031207. The reversal of 10112313031200 is 213031321101.

10112313031200 is a `hidden beast` number, since 1 + 0 + 11 + 231 + 303 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10112313031193) and next prime (10112313031207).

It can be written as a sum of positive squares in 12 ways, for example, as 8432728135056 + 1679584896144 = 2903916^2 + 1295988^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10112313031207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26718484 + ... + 27094316.

Almost surely, 210112313031200 is an apocalyptic number.

10112313031200 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 10112313031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18492491787588).

10112313031200 is an abundant number, since it is smaller than the sum of its proper divisors (26872670543976).

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

10112313031200 is a wasteful number, since it uses less digits than its factorization.

10112313031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375997 (or 375981 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10112313031200 its reverse (213031321101), we get a palindrome (10325344352301).

The spelling of 10112313031200 in words is "ten trillion, one hundred twelve billion, three hundred thirteen million, thirty-one thousand, two hundred".