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12300134144031 = 341271195696913
BaseRepresentation
bin1011001011111101100100…
…1000000101100000011111
31121112212210111102100120000
42302333121020011200133
53103011133320102111
642054334214225343
72406440535105336
oct262773110054037
947485714370500
1012300134144031
113a12504073538
121467a22055253
136b2b89258256
1430748887cd1d
15164e4c27ac56
hexb2fd920581f

12300134144031 has 20 divisors (see below), whose sum is σ = 18518953804032. Its totient is φ = 8135521789248.

The previous prime is 12300134144029. The next prime is 12300134144057. The reversal of 12300134144031 is 13044143100321.

12300134144031 is a `hidden beast` number, since 1 + 230 + 0 + 13 + 4 + 14 + 403 + 1 = 666.

12300134144031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12300134144031 - 21 = 12300134144029 is a prime.

It is a super-2 number, since 2×123001341440312 (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 a junction number, because it is equal to n+sod(n) for n = 12300134143986 and 12300134144004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300134144021) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 597838170 + ... + 597858743.

Almost surely, 212300134144031 is an apocalyptic number.

12300134144031 is a deficient number, since it is larger than the sum of its proper divisors (6218819660001).

12300134144031 is a wasteful number, since it uses less digits than its factorization.

12300134144031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195697052 (or 1195697043 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12300134144031 its reverse (13044143100321), we get a palindrome (25344277244352).

The spelling of 12300134144031 in words is "twelve trillion, three hundred billion, one hundred thirty-four million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 9 27 81 127 381 1143 3429 10287 1195696913 3587090739 10761272217 32283816651 96851449953 151853507951 455560523853 1366681571559 4100044714677 12300134144031