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114133005025 = 5213253509693
BaseRepresentation
bin110101001001011011…
…0110111001011100001
3101220121010101101102021
41222102312313023201
53332221022130100
6124233150221441
711150215351534
oct1522266671341
9356533341367
10114133005025
1144449118a46
121a152ab4881
13a9bb849b00
14574a07aa1b
152e7ed91a1a
hex1a92db72e1

114133005025 has 36 divisors (see below), whose sum is σ = 156140679348. Its totient is φ = 82692430080.

The previous prime is 114133005017. The next prime is 114133005031. The reversal of 114133005025 is 520500331411.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 99853472016 + 14279533009 = 315996^2 + 119497^2 .

It is not a de Polignac number, because 114133005025 - 23 = 114133005017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30922 + ... + 478771.

It is an arithmetic number, because the mean of its divisors is an integer number (4337241093).

Almost surely, 2114133005025 is an apocalyptic number.

It is an amenable number.

114133005025 is a deficient number, since it is larger than the sum of its proper divisors (42007674323).

114133005025 is a wasteful number, since it uses less digits than its factorization.

114133005025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509782 (or 509764 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 114133005025 its reverse (520500331411), we get a palindrome (634633336436).

The spelling of 114133005025 in words is "one hundred fourteen billion, one hundred thirty-three million, five thousand, twenty-five".

Divisors: 1 5 13 25 53 65 169 265 325 689 845 1325 3445 4225 8957 17225 44785 223925 509693 2548465 6626009 12742325 27013729 33130045 86138117 135068645 165650225 351178477 430690585 675343225 1755892385 2153452925 4565320201 8779461925 22826601005 114133005025