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12032100024 = 233773981091
BaseRepresentation
bin10110011010010101…
…10100011010111000
31011001112112000022020
423031022310122320
5144120204200044
65305533354440
7604111106550
oct131512643270
934045460266
1012032100024
11511489691a
1223b9638a20
1311999c3619
14821db6160
154a64b1a19
hex2cd2b46b8

12032100024 has 64 divisors (see below), whose sum is σ = 34848387840. Its totient is φ = 3390647040.

The previous prime is 12032100019. The next prime is 12032100089. The reversal of 12032100024 is 42000123021.

12032100024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12032099976 and 12032100012.

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 15 ways as a sum of consecutive naturals, for example, 478282 + ... + 502809.

It is an arithmetic number, because the mean of its divisors is an integer number (544506060).

Almost surely, 212032100024 is an apocalyptic number.

12032100024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12032100024 is an abundant number, since it is smaller than the sum of its proper divisors (22816287816).

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

12032100024 is a wasteful number, since it uses less digits than its factorization.

12032100024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981180 (or 981176 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12032100024 its reverse (42000123021), we get a palindrome (54032223045).

The spelling of 12032100024 in words is "twelve billion, thirty-two million, one hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 12264 981091 1962182 2943273 3924364 5886546 6867637 7848728 11773092 13735274 20602911 23546184 27470548 41205822 54941096 71619643 82411644 143239286 164823288 214858929 286478572 429717858 501337501 572957144 859435716 1002675002 1504012503 1718871432 2005350004 3008025006 4010700008 6016050012 12032100024