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113525133201 = 3331963114083
BaseRepresentation
bin110100110111010100…
…0000000111110010001
3101212000202120022001000
41221232220000332101
53324444413230301
6124052553332213
711126154465504
oct1515650007621
9355022508030
10113525133201
1144166a83937
121a003407069
13a92292623c
1456cd44513b
152e4681b786
hex1a6ea00f91

113525133201 has 32 divisors (see below), whose sum is σ = 173641072640. Its totient is φ = 73229216400.

The previous prime is 113525133181. The next prime is 113525133217. The reversal of 113525133201 is 102331525311.

113525133201 is a `hidden beast` number, since 1 + 1 + 3 + 525 + 133 + 2 + 0 + 1 = 666.

It is not a de Polignac number, because 113525133201 - 221 = 113523036049 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113525133101) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8054106 + ... + 8068188.

It is an arithmetic number, because the mean of its divisors is an integer number (5426283520).

Almost surely, 2113525133201 is an apocalyptic number.

It is an amenable number.

113525133201 is a deficient number, since it is larger than the sum of its proper divisors (60115939439).

113525133201 is a wasteful number, since it uses less digits than its factorization.

113525133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23754 (or 23748 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 113525133201 its reverse (102331525311), we get a palindrome (215856658512).

The spelling of 113525133201 in words is "one hundred thirteen billion, five hundred twenty-five million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 3 9 27 31 93 279 837 9631 14083 28893 42249 86679 126747 260037 298561 380241 436573 895683 1309719 2687049 3929157 8061147 11787471 135633373 406900119 1220700357 3662101071 4204634563 12613903689 37841711067 113525133201