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10112114430 = 23251137594679
BaseRepresentation
bin10010110101011101…
…01001111011111110
3222002201201122012200
421122232221323332
5131202200130210
64351225412330
7505405361115
oct113256517376
928081648180
1010112114430
11431a030270
121b6263a0a6
13c51cb3082
146bcdc8c7c
153e2b570c0
hex25aba9efe

10112114430 has 192 divisors, whose sum is σ = 29962483200. Its totient is φ = 2344239360.

The previous prime is 10112114413. The next prime is 10112114449. The reversal of 10112114430 is 3441121101.

10112114430 is a `hidden beast` number, since 1 + 0 + 11 + 211 + 443 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2158831 + ... + 2163509.

It is an arithmetic number, because the mean of its divisors is an integer number (156054600).

Almost surely, 210112114430 is an apocalyptic number.

10112114430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112114430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981241600).

10112114430 is an abundant number, since it is smaller than the sum of its proper divisors (19850368770).

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

10112114430 is a wasteful number, since it uses less digits than its factorization.

10112114430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10112114430 its reverse (3441121101), we get a palindrome (13553235531).

The spelling of 10112114430 in words is "ten billion, one hundred twelve million, one hundred fourteen thousand, four hundred thirty".