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12300314004 = 22321131061399
BaseRepresentation
bin10110111010010011…
…11110010110010100
31011202020012200201100
423131021332112110
5200142340022004
65352314230100
7613545641526
oct133511762624
934666180640
1012300314004
11524222aa70
122473425330
131210442514
14849873a16
154bece2739
hex2dd27e594

12300314004 has 36 divisors (see below), whose sum is σ = 33919048800. Its totient is φ = 3727367760.

The previous prime is 12300313969. The next prime is 12300314027. The reversal of 12300314004 is 40041300321.

12300314004 is a `hidden beast` number, since 1 + 230 + 0 + 31 + 400 + 4 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15530304 + ... + 15531095.

It is an arithmetic number, because the mean of its divisors is an integer number (942195800).

Almost surely, 212300314004 is an apocalyptic number.

It is an amenable number.

12300314004 is an abundant number, since it is smaller than the sum of its proper divisors (21618734796).

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

12300314004 is a wasteful number, since it uses less digits than its factorization.

12300314004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31061420 (or 31061415 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12300314004 its reverse (40041300321), we get a palindrome (52341614325).

The spelling of 12300314004 in words is "twelve billion, three hundred million, three hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 31061399 62122798 93184197 124245596 186368394 279552591 341675389 372736788 559105182 683350778 1025026167 1118210364 1366701556 2050052334 3075078501 4100104668 6150157002 12300314004