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12433141125 = 325311051681
BaseRepresentation
bin10111001010001001…
…01010110110000101
31012002111011000021100
423211010222312011
5200430341004000
65413421210313
7620050645566
oct134504526605
935074130240
1012433141125
115300202a49
1224aba00999
131231b0aa52
1485d36c16d
154cb7cda00
hex2e512ad85

12433141125 has 24 divisors (see below), whose sum is σ = 22412811096. Its totient is φ = 6631008000.

The previous prime is 12433141103. The next prime is 12433141141. The reversal of 12433141125 is 52114133421.

12433141125 is a `hidden beast` number, since 1 + 243 + 3 + 1 + 411 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24740676 + 12408400449 = 4974^2 + 111393^2 .

It is not a de Polignac number, because 12433141125 - 27 = 12433140997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5524716 + ... + 5526965.

It is an arithmetic number, because the mean of its divisors is an integer number (933867129).

Almost surely, 212433141125 is an apocalyptic number.

12433141125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12433141125 is a deficient number, since it is larger than the sum of its proper divisors (9979669971).

12433141125 is a wasteful number, since it uses less digits than its factorization.

12433141125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11051702 (or 11051689 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 12433141125 its reverse (52114133421), we get a palindrome (64547274546).

The spelling of 12433141125 in words is "twelve billion, four hundred thirty-three million, one hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 11051681 33155043 55258405 99465129 165775215 276292025 497325645 828876075 1381460125 2486628225 4144380375 12433141125