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12311220300 = 22352338912109
BaseRepresentation
bin10110111011100111…
…00101000001001100
31011202222201210100020
423131303211001030
5200203133022200
65353344102140
7614040434361
oct133563450114
934688653306
1012311220300
1152483aa035
122477004950
131212790752
1484b0b2468
154c0c48ea0
hex2ddce504c

12311220300 has 72 divisors (see below), whose sum is σ = 35633917200. Its totient is φ = 3281752320.

The previous prime is 12311220277. The next prime is 12311220323. The reversal of 12311220300 is 302211321.

12311220300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12311220277) and next prime (12311220323).

It is a super-2 number, since 2×123112203002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12311220300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010646 + ... + 1022754.

Almost surely, 212311220300 is an apocalyptic number.

12311220300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311220300 is an abundant number, since it is smaller than the sum of its proper divisors (23322696900).

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

12311220300 is a wasteful number, since it uses less digits than its factorization.

12311220300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15515 (or 15508 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12311220300 its reverse (302211321), we get a palindrome (12613431621).

The spelling of 12311220300 in words is "twelve billion, three hundred eleven million, two hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 3389 6778 10167 12109 13556 16945 20334 24218 33890 36327 40668 48436 50835 60545 67780 72654 84725 101670 121090 145308 169450 181635 203340 242180 254175 302725 338900 363270 508350 605450 726540 908175 1016700 1210900 1816350 3632700 41037401 82074802 123112203 164149604 205187005 246224406 410374010 492448812 615561015 820748020 1025935025 1231122030 2051870050 2462244060 3077805075 4103740100 6155610150 12311220300