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10112401152 = 28337297207
BaseRepresentation
bin10010110101011111…
…01111111100000000
3222002202021012112000
421122233233330000
5131202233314102
64351235504000
7505410664050
oct113257577400
928082235460
1010112401152
11431a206727
121b62758000
13c52083729
146bd061560
153e2bb201c
hex25abeff00

10112401152 has 288 divisors, whose sum is σ = 35359564800. Its totient is φ = 2789240832.

The previous prime is 10112401147. The next prime is 10112401157. The reversal of 10112401152 is 25110421101.

10112401152 is a `hidden beast` number, since 1 + 0 + 112 + 401 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (10112401147) and next prime (10112401157).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112401157) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1399533 + ... + 1406739.

Almost surely, 210112401152 is an apocalyptic number.

10112401152 is a gapful number since it is divisible by the number (12) 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 10112401152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17679782400).

10112401152 is an abundant number, since it is smaller than the sum of its proper divisors (25247163648).

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

10112401152 is an equidigital number, since it uses as much as digits as its factorization.

10112401152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7268 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10112401152 its reverse (25110421101), we get a palindrome (35222822253).

The spelling of 10112401152 in words is "ten billion, one hundred twelve million, four hundred one thousand, one hundred fifty-two".