Search a number
-
+
113201133201 = 331319149113921
BaseRepresentation
bin110100101101101010…
…0000011011010010001
3101211012011220101121000
41221123110003122101
53323313442230301
6124000501052213
711115141520212
oct1513324033221
9354164811530
10113201133201
11440100a7942
1219b329b7069
13a8a0774470
14569c3c5409
152e2816b786
hex1a5b503691

113201133201 has 64 divisors (see below), whose sum is σ = 191388960000. Its totient is φ = 65552302080.

The previous prime is 113201133193. The next prime is 113201133257. The reversal of 113201133201 is 102331102311.

113201133201 is a `hidden beast` number, since 1 + 1 + 320 + 11 + 332 + 0 + 1 = 666.

It is not a de Polignac number, because 113201133201 - 23 = 113201133193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113201133301) 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 63 ways as a sum of consecutive naturals, for example, 936721 + ... + 1050641.

It is an arithmetic number, because the mean of its divisors is an integer number (2990452500).

Almost surely, 2113201133201 is an apocalyptic number.

It is an amenable number.

113201133201 is a deficient number, since it is larger than the sum of its proper divisors (78187826799).

113201133201 is a wasteful number, since it uses less digits than its factorization.

113201133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114111 (or 114105 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113201133201 its reverse (102331102311), we get a palindrome (215532235512).

The spelling of 113201133201 in words is "one hundred thirteen billion, two hundred one million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 3 9 13 19 27 39 57 117 149 171 247 351 447 513 741 1341 1937 2223 2831 4023 5811 6669 8493 17433 25479 36803 52299 76437 110409 113921 331227 341763 993681 1025289 1480973 2164499 3075867 4442919 6493497 13328757 16974229 19480491 28138487 39986271 50922687 58441473 84415461 152768061 220664977 253246383 322510351 458304183 661994931 759739149 967531053 1985984793 2902593159 4192634563 5957954379 8707779477 12577903689 37733711067 113201133201