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12320311332 = 22371779109211
BaseRepresentation
bin10110111100101100…
…10000100000100100
31011210121211122220010
423132112100200210
5200212444430312
65354311010220
7614210630010
oct133626204044
934717748803
1012320311332
11525254928a
12247a069970
131214624664
1484c39b540
154c194293c
hex2de590824

12320311332 has 96 divisors (see below), whose sum is σ = 35227422720. Its totient is φ = 3271057920.

The previous prime is 12320311331. The next prime is 12320311351. The reversal of 12320311332 is 23311302321.

It is a super-2 number, since 2×123203113322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12320311299 and 12320311308.

It is not an unprimeable number, because it can be changed into a prime (12320311331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58207 + ... + 167417.

It is an arithmetic number, because the mean of its divisors is an integer number (366952320).

Almost surely, 212320311332 is an apocalyptic number.

12320311332 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 12320311332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17613711360).

12320311332 is an abundant number, since it is smaller than the sum of its proper divisors (22907111388).

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

12320311332 is a wasteful number, since it uses less digits than its factorization.

12320311332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109321 (or 109319 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12320311332 its reverse (23311302321), we get a palindrome (35631613653).

The spelling of 12320311332 in words is "twelve billion, three hundred twenty million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 79 84 102 119 158 204 237 238 316 357 474 476 553 714 948 1106 1343 1428 1659 2212 2686 3318 4029 5372 6636 8058 9401 16116 18802 28203 37604 56406 109211 112812 218422 327633 436844 655266 764477 1310532 1528954 1856587 2293431 3057908 3713174 4586862 5569761 7426348 8627669 9173724 11139522 12996109 17255338 22279044 25883007 25992218 34510676 38988327 51766014 51984436 60393683 77976654 103532028 120787366 146670373 155953308 181181049 241574732 293340746 362362098 440011119 586681492 724724196 880022238 1026692611 1760044476 2053385222 3080077833 4106770444 6160155666 12320311332