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12320333302113 = 3555791025063
BaseRepresentation
bin1011001101001000110100…
…0101110000100101100001
31121121210221012200220100000
42303102031011300211201
53103324020311131423
642111514420250213
72411054226112134
oct263221505604541
947553835626300
1012320333302113
113a20029a5aa11
12146b91a840969
136b4a57c83bb5
143084433a821b
15165730736843
hexb348d170961

12320333302113 has 24 divisors (see below), whose sum is σ = 18488282799168. Its totient is φ = 8198809384464.

The previous prime is 12320333302099. The next prime is 12320333302127. The reversal of 12320333302113 is 31120333302321.

12320333302113 is a `hidden beast` number, since 1 + 2 + 3 + 20 + 333 + 302 + 1 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (12320333302099) and next prime (12320333302127).

It is not a de Polignac number, because 12320333302113 - 24 = 12320333302097 is a prime.

It is a super-2 number, since 2×123203333021132 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12320333312113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 45377181 + ... + 45647882.

It is an arithmetic number, because the mean of its divisors is an integer number (770345116632).

Almost surely, 212320333302113 is an apocalyptic number.

It is an amenable number.

12320333302113 is a deficient number, since it is larger than the sum of its proper divisors (6167949497055).

12320333302113 is an frugal number, since it uses more digits than its factorization.

12320333302113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91025635 (or 91025623 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12320333302113 its reverse (31120333302321), we get a palindrome (43440666604434).

The spelling of 12320333302113 in words is "twelve trillion, three hundred twenty billion, three hundred thirty-three million, three hundred two thousand, one hundred thirteen".

Divisors: 1 3 9 27 81 243 557 1671 5013 15039 45117 135351 91025063 273075189 819225567 2457676701 7373030103 22119090309 50700960091 152102880273 456308640819 1368925922457 4106777767371 12320333302113