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133013013201 = 3223227938041
BaseRepresentation
bin111101111100000110…
…0011000001011010001
3110201022220110011201100
41323320030120023101
54134402312410301
6141034430255013
712416120646255
oct1737014301321
9421286404640
10133013013201
1151457418592
1221941957469
13c70a194293
14661b6dc265
1536d7628286
hex1ef83182d1

133013013201 has 18 divisors (see below), whose sum is σ = 200846583938. Its totient is φ = 84819889440.

The previous prime is 133013013197. The next prime is 133013013257. The reversal of 133013013201 is 102310310331.

It is a happy number.

133013013201 is a `hidden beast` number, since 1 + 330 + 1 + 301 + 32 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106067462400 + 26945550801 = 325680^2 + 164151^2 .

It is not a de Polignac number, because 133013013201 - 22 = 133013013197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (133013013701) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13964260 + ... + 13973781.

Almost surely, 2133013013201 is an apocalyptic number.

It is an amenable number.

133013013201 is a deficient number, since it is larger than the sum of its proper divisors (67833570737).

133013013201 is a wasteful number, since it uses less digits than its factorization.

133013013201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27938093 (or 27938067 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133013013201 its reverse (102310310331), we get a palindrome (235323323532).

The spelling of 133013013201 in words is "one hundred thirty-three billion, thirteen million, thirteen thousand, two hundred one".

Divisors: 1 3 9 23 69 207 529 1587 4761 27938041 83814123 251442369 642574943 1927724829 5783174487 14779223689 44337671067 133013013201