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12331300032 = 26343176733
BaseRepresentation
bin10110111110000000…
…01011010011000000
31011211101111221120000
423133000023103000
5200223303100112
65355342320000
7614403215022
oct133700132300
934741457500
1012331300032
115258774257
122481889000
1312169a124c
1484da1c012
154c28b37dc
hex2df00b4c0

12331300032 has 140 divisors (see below), whose sum is σ = 37733484096. Its totient is φ = 3977786880.

The previous prime is 12331300031. The next prime is 12331300057. The reversal of 12331300032 is 23000313321.

12331300032 is a `hidden beast` number, since 1 + 2 + 331 + 300 + 0 + 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 = 12331299978 and 12331300014.

It is not an unprimeable number, because it can be changed into a prime (12331300031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 122338 + ... + 199070.

Almost surely, 212331300032 is an apocalyptic number.

12331300032 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 12331300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18866742048).

12331300032 is an abundant number, since it is smaller than the sum of its proper divisors (25402184064).

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

12331300032 is an equidigital number, since it uses as much as digits as its factorization.

12331300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76788 (or 76769 counting only the distinct ones).

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

Adding to 12331300032 its reverse (23000313321), we get a palindrome (35331613353).

The spelling of 12331300032 in words is "twelve billion, three hundred thirty-one million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8928 10044 13392 17856 20088 26784 40176 53568 76733 80352 153466 160704 230199 306932 460398 613864 690597 920796 1227728 1381194 1841592 2071791 2378723 2455456 2762388 3683184 4143582 4757446 4910912 5524776 6215373 7136169 7366368 8287164 9514892 11049552 12430746 14272338 14732736 16574328 19029784 21408507 22099104 24861492 28544676 33148656 38059568 42817014 44198208 49722984 57089352 64225521 66297312 76119136 85634028 99445968 114178704 128451042 132594624 152238272 171268056 192676563 198891936 228357408 256902084 342536112 385353126 397783872 456714816 513804168 685072224 770706252 1027608336 1370144448 1541412504 2055216672 3082825008 4110433344 6165650016 12331300032