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10112321232 = 2434132292621
BaseRepresentation
bin10010110101011110…
…11100011011010000
3222002202010010220000
421122233130123100
5131202223234412
64351234050000
7505410212046
oct113257343320
928082103800
1010112321232
11431a161682
121b62719900
13c52056240
146bd040396
153e2b984dc
hex25abdc6d0

10112321232 has 200 divisors, whose sum is σ = 31669092840. Its totient is φ = 3096714240.

The previous prime is 10112321207. The next prime is 10112321249. The reversal of 10112321232 is 23212321101.

10112321232 is a `hidden beast` number, since 1 + 0 + 112 + 321 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3545487936 + 6566833296 = 59544^2 + 81036^2 .

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 39 ways as a sum of consecutive naturals, for example, 3856882 + ... + 3859502.

Almost surely, 210112321232 is an apocalyptic number.

10112321232 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 10112321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15834546420).

10112321232 is an abundant number, since it is smaller than the sum of its proper divisors (21556771608).

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

10112321232 is a wasteful number, since it uses less digits than its factorization.

10112321232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10112321232 its reverse (23212321101), we get a palindrome (33324642333).

The spelling of 10112321232 in words is "ten billion, one hundred twelve million, three hundred twenty-one thousand, two hundred thirty-two".