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12432031020 = 22325293235723
BaseRepresentation
bin10111001010000000…
…11011110100101100
31012002102001121111100
423211000123310230
5200430044443040
65413341323100
7620035343253
oct134500336454
935072047440
1012432031020
1152aa614a02
1224ab566490
13123180c696
1485d15d79a
154cb65eb30
hex2e501bd2c

12432031020 has 72 divisors (see below), whose sum is σ = 37839359376. Its totient is φ = 3303879552.

The previous prime is 12432030991. The next prime is 12432031097. The reversal of 12432031020 is 2013023421.

12432031020 is a `hidden beast` number, since 12 + 4 + 320 + 310 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12432030984 and 12432031002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65122 + ... + 170601.

It is an arithmetic number, because the mean of its divisors is an integer number (525546658).

Almost surely, 212432031020 is an apocalyptic number.

12432031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432031020 is an abundant number, since it is smaller than the sum of its proper divisors (25407328356).

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

12432031020 is a wasteful number, since it uses less digits than its factorization.

12432031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236031 (or 236026 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12432031020 its reverse (2013023421), we get a palindrome (14445054441).

The spelling of 12432031020 in words is "twelve billion, four hundred thirty-two million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 293 586 879 1172 1465 1758 2637 2930 3516 4395 5274 5860 8790 10548 13185 17580 26370 52740 235723 471446 707169 942892 1178615 1414338 2121507 2357230 2828676 3535845 4243014 4714460 7071690 8486028 10607535 14143380 21215070 42430140 69066839 138133678 207200517 276267356 345334195 414401034 621601551 690668390 828802068 1036002585 1243203102 1381336780 2072005170 2486406204 3108007755 4144010340 6216015510 12432031020