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12300013332 = 22321720098061
BaseRepresentation
bin10110111010010001…
…10100111100010100
31011202012122102021100
423131020310330110
5200142300411312
65352303550100
7613543250115
oct133510647424
934665572240
1012300013332
115242045082
1224732bb330
1312103686c9
148497d620c
154bec835dc
hex2dd234f14

12300013332 has 36 divisors (see below), whose sum is σ = 32920625556. Its totient is φ = 3858827520.

The previous prime is 12300013289. The next prime is 12300013351. The reversal of 12300013332 is 23331000321.

12300013332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4128576516 + 8171436816 = 64254^2 + 90396^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10048419 + ... + 10049642.

It is an arithmetic number, because the mean of its divisors is an integer number (914461821).

Almost surely, 212300013332 is an apocalyptic number.

12300013332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12300013332 is an abundant number, since it is smaller than the sum of its proper divisors (20620612224).

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

12300013332 is a wasteful number, since it uses less digits than its factorization.

12300013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20098088 (or 20098083 counting only the distinct ones).

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

Adding to 12300013332 its reverse (23331000321), we get a palindrome (35631013653).

The spelling of 12300013332 in words is "twelve billion, three hundred million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 20098061 40196122 60294183 80392244 120588366 180882549 241176732 341667037 361765098 683334074 723530196 1025001111 1366668148 2050002222 3075003333 4100004444 6150006666 12300013332