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10023311232 = 2732112233547
BaseRepresentation
bin10010101010110111…
…11001011110000000
3221212112121222010100
421111123321132000
5131011431424412
64334334202400
7503246511504
oct112533713600
927775558110
1010023311232
1142839970a0
121b38953400
13c3978cabc
146b12b0304
153d9e64edc
hex2556f9780

10023311232 has 192 divisors, whose sum is σ = 31615234560. Its totient is φ = 3022894080.

The previous prime is 10023311219. The next prime is 10023311237. The reversal of 10023311232 is 23211332001.

10023311232 is a `hidden beast` number, since 100 + 2 + 331 + 1 + 232 = 666.

10023311232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 (10023311237) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2824083 + ... + 2827629.

It is an arithmetic number, because the mean of its divisors is an integer number (164662680).

Almost surely, 210023311232 is an apocalyptic number.

10023311232 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 10023311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807617280).

10023311232 is an abundant number, since it is smaller than the sum of its proper divisors (21591923328).

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

10023311232 is a wasteful number, since it uses less digits than its factorization.

10023311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10023311232 its reverse (23211332001), we get a palindrome (33234643233).

It can be divided in two parts, 100 and 23311232, that added together give a palindrome (23311332).

The spelling of 10023311232 in words is "ten billion, twenty-three million, three hundred eleven thousand, two hundred thirty-two".