Search a number
-
+
12310132320 = 2532580910567
BaseRepresentation
bin10110111011011110…
…11011011001100000
31011202220200111220200
423131233123121200
5200202343213240
65353304505200
7614025253413
oct133557333140
934686614820
1012310132320
115247826682
12247677b200
13121249c485
1484acabb7a
154c0ad1930
hex2ddbdb660

12310132320 has 144 divisors (see below), whose sum is σ = 42064233120. Its totient is φ = 3278333952.

The previous prime is 12310132313. The next prime is 12310132337. The reversal of 12310132320 is 2323101321.

12310132320 is a `hidden beast` number, since 1 + 2 + 310 + 1 + 32 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 12310132293 and 12310132302.

It is a congruent number.

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, 1159677 + ... + 1170243.

It is an arithmetic number, because the mean of its divisors is an integer number (292112730).

Almost surely, 212310132320 is an apocalyptic number.

12310132320 is a gapful number since it is divisible by the number (10) 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 12310132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21032116560).

12310132320 is an abundant number, since it is smaller than the sum of its proper divisors (29754100800).

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

12310132320 is a wasteful number, since it uses less digits than its factorization.

12310132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11397 (or 11386 counting only the distinct ones).

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

Adding to 12310132320 its reverse (2323101321), we get a palindrome (14633233641).

The spelling of 12310132320 in words is "twelve billion, three hundred ten million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 809 1440 1618 2427 3236 4045 4854 6472 7281 8090 9708 10567 12135 12944 14562 16180 19416 21134 24270 25888 29124 31701 32360 36405 38832 42268 48540 52835 58248 63402 64720 72810 77664 84536 95103 97080 105670 116496 126804 129440 145620 158505 169072 190206 194160 211340 232992 253608 291240 317010 338144 380412 388320 422680 475515 507216 582480 634020 760824 845360 951030 1014432 1164960 1268040 1521648 1690720 1902060 2536080 3043296 3804120 5072160 7608240 8548703 15216480 17097406 25646109 34194812 42743515 51292218 68389624 76938327 85487030 102584436 128230545 136779248 153876654 170974060 205168872 256461090 273558496 307753308 341948120 384691635 410337744 512922180 615506616 683896240 769383270 820675488 1025844360 1231013232 1367792480 1538766540 2051688720 2462026464 3077533080 4103377440 6155066160 12310132320