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12303020102004 = 2232349979227961
BaseRepresentation
bin1011001100001000010100…
…1001001001000101110100
31121120011020121212012122100
42303002011021021011310
53103033041121231004
642055532430302100
72406602210253102
oct263020511110564
947504217765570
1012303020102004
113a13755121475
1214684a8657930
136b32291206a8
1430767dc7ac72
1516506a7e4739
hexb3085249174

12303020102004 has 36 divisors (see below), whose sum is σ = 31188410589700. Its totient is φ = 4089255960960.

The previous prime is 12303020101993. The next prime is 12303020102011. The reversal of 12303020102004 is 40020102030321.

12303020102004 is a `hidden beast` number, since 1 + 230 + 30 + 201 + 0 + 200 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7104346498404 + 5198673603600 = 2665398^2 + 2280060^2 .

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, 489601417 + ... + 489626544.

Almost surely, 212303020102004 is an apocalyptic number.

It is an amenable number.

12303020102004 is an abundant number, since it is smaller than the sum of its proper divisors (18885390487696).

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

12303020102004 is a wasteful number, since it uses less digits than its factorization.

12303020102004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979228320 (or 979228315 counting only the distinct ones).

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

Adding to 12303020102004 its reverse (40020102030321), we get a palindrome (52323122132325).

The spelling of 12303020102004 in words is "twelve trillion, three hundred three billion, twenty million, one hundred two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 349 698 1047 1396 2094 3141 4188 6282 12564 979227961 1958455922 2937683883 3916911844 5875367766 8813051649 11750735532 17626103298 35252206596 341750558389 683501116778 1025251675167 1367002233556 2050503350334 3075755025501 4101006700668 6151510051002 12303020102004