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10112323200 = 273527295189
BaseRepresentation
bin10010110101011110…
…11100111010000000
3222002202010020120220
421122233130322000
5131202223320300
64351234103040
7505410220560
oct113257347200
928082106526
1010112323200
11431a163101
121b6271aa80
13c520570c5
146bd040da0
153e2b98da0
hex25abdce80

10112323200 has 384 divisors, whose sum is σ = 39385872000. Its totient is φ = 2231255040.

The previous prime is 10112323187. The next prime is 10112323213. The reversal of 10112323200 is 232321101.

10112323200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10112323187) and next prime (10112323213).

It is a tau number, because it is divible by the number of its divisors (384).

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 10112323200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1946206 + ... + 1951394.

It is an arithmetic number, because the mean of its divisors is an integer number (102567375).

Almost surely, 210112323200 is an apocalyptic number.

10112323200 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 10112323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19692936000).

10112323200 is an abundant number, since it is smaller than the sum of its proper divisors (29273548800).

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

10112323200 is a wasteful number, since it uses less digits than its factorization.

10112323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5252 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10112323200 its reverse (232321101), we get a palindrome (10344644301).

The spelling of 10112323200 in words is "ten billion, one hundred twelve million, three hundred twenty-three thousand, two hundred".