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12311220213300 = 22352241170279671
BaseRepresentation
bin1011001100100110110111…
…1010000101011000110100
31121120221102002211000122010
42303021231322011120310
53103201334333311200
642103410235204220
72410312341123111
oct263115572053064
947527362730563
1012311220213300
113a17182948458
121469bb68a6670
136b3c34c59658
14307c1ad55908
1516539a66c150
hexb326de85634

12311220213300 has 72 divisors (see below), whose sum is σ = 35768266781632. Its totient is φ = 3269369664000.

The previous prime is 12311220213277. The next prime is 12311220213307. The reversal of 12311220213300 is 331202211321.

12311220213300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123112202133002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311220213307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85067536 + ... + 85212135.

Almost surely, 212311220213300 is an apocalyptic number.

12311220213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12311220213300 is an abundant number, since it is smaller than the sum of its proper divisors (23457046568332).

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

12311220213300 is a wasteful number, since it uses less digits than its factorization.

12311220213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170279929 (or 170279922 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12311220213300 its reverse (331202211321), we get a palindrome (12642422424621).

The spelling of 12311220213300 in words is "twelve trillion, three hundred eleven billion, two hundred twenty million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 241 300 482 723 964 1205 1446 2410 2892 3615 4820 6025 7230 12050 14460 18075 24100 36150 72300 170279671 340559342 510839013 681118684 851398355 1021678026 1702796710 2043356052 2554195065 3405593420 4256991775 5108390130 8513983550 10216780260 12770975325 17027967100 25541950650 41037400711 51083901300 82074801422 123112202133 164149602844 205187003555 246224404266 410374007110 492448808532 615561010665 820748014220 1025935017775 1231122021330 2051870035550 2462244042660 3077805053325 4103740071100 6155610106650 12311220213300