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12300133032 = 2332113128351
BaseRepresentation
bin10110111010010010…
…10010001010101000
31011202012212111110200
423131021102022220
5200142313224112
65352310312200
7613544256105
oct133511221250
934665774420
1012300133032
115242117000
122473358660
1312103ab035
14849827aac
154beca8cdc
hex2dd2522a8

12300133032 has 96 divisors (see below), whose sum is σ = 36641928960. Its totient is φ = 3727284000.

The previous prime is 12300133019. The next prime is 12300133049. The reversal of 12300133032 is 23033100321.

12300133032 is a `hidden beast` number, since 1 + 2 + 300 + 1 + 330 + 32 = 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 = 12300132996 and 12300133014.

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, 31657 + ... + 160007.

It is an arithmetic number, because the mean of its divisors is an integer number (381686760).

Almost surely, 212300133032 is an apocalyptic number.

12300133032 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 12300133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320964480).

12300133032 is an abundant number, since it is smaller than the sum of its proper divisors (24341795928).

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

12300133032 is a wasteful number, since it uses less digits than its factorization.

12300133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128396 (or 128367 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12300133032 its reverse (23033100321), we get a palindrome (35333233353).

The spelling of 12300133032 in words is "twelve billion, three hundred million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1331 1452 2178 2662 2904 3993 4356 5324 7986 8712 10648 11979 15972 23958 31944 47916 95832 128351 256702 385053 513404 770106 1026808 1155159 1411861 1540212 2310318 2823722 3080424 4235583 4620636 5647444 8471166 9241272 11294888 12706749 15530471 16942332 25413498 31060942 33884664 46591413 50826996 62121884 93182826 101653992 124243768 139774239 170835181 186365652 279548478 341670362 372731304 512505543 559096956 683340724 1025011086 1118193912 1366681448 1537516629 2050022172 3075033258 4100044344 6150066516 12300133032