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12545203131 = 341928129009
BaseRepresentation
bin10111010111100000…
…01001101110111011
31012101022000100110000
423223300021232323
5201143033000011
65432503124043
7622611316146
oct135360115673
935338010400
1012545203131
11535849287a
122521443623
13124c0b5826
148701bd05d
154d6567356
hex2ebc09bbb

12545203131 has 40 divisors (see below), whose sum is σ = 19797584400. Its totient is φ = 7894817280.

The previous prime is 12545203109. The next prime is 12545203141. The reversal of 12545203131 is 13130254521.

12545203131 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 520 + 3 + 131 = 666.

It is not a de Polignac number, because 12545203131 - 26 = 12545203067 is a prime.

It is a super-2 number, since 2×125452031312 (a number of 21 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 = 12545203095 and 12545203104.

It is not an unprimeable number, because it can be changed into a prime (12545203141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417955 + ... + 446963.

It is an arithmetic number, because the mean of its divisors is an integer number (494939610).

Almost surely, 212545203131 is an apocalyptic number.

12545203131 is a deficient number, since it is larger than the sum of its proper divisors (7252381269).

12545203131 is a wasteful number, since it uses less digits than its factorization.

12545203131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29321 (or 29312 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 12545203131 its reverse (13130254521), we get a palindrome (25675457652).

The spelling of 12545203131 in words is "twelve billion, five hundred forty-five million, two hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 19 27 57 81 171 281 513 843 1539 2529 5339 7587 16017 22761 29009 48051 87027 144153 261081 432459 551171 783243 1653513 2349729 4960539 8151529 14881617 24454587 44644851 73363761 154879051 220091283 464637153 660273849 1393911459 4181734377 12545203131