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133972301 = 3773193257
BaseRepresentation
bin1111111110001…
…00000101001101
3100100002111110002
413333010011031
5233244103201
621143254045
73214513541
oct777040515
9310074402
10133972301
1169695411
1238a4a325
13219a9868
1413b15a21
15bb6576b
hex7fc414d

133972301 has 16 divisors (see below), whose sum is σ = 140746224. Its totient is φ = 127401984.

The previous prime is 133972283. The next prime is 133972313. The reversal of 133972301 is 103279331.

133972301 = 3862 + 3872 + ... + 7712.

It can be written as a sum of positive squares in 8 ways, for example, as 26020201 + 107952100 = 5101^2 + 10390^2 .

It is a cyclic number.

It is not a de Polignac number, because 133972301 - 226 = 66863437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133972351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521165 + ... + 521421.

It is an arithmetic number, because the mean of its divisors is an integer number (8796639).

Almost surely, 2133972301 is an apocalyptic number.

It is an amenable number.

133972301 is a deficient number, since it is larger than the sum of its proper divisors (6773923).

133972301 is a wasteful number, since it uses less digits than its factorization.

133972301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560.

The product of its (nonzero) digits is 3402, while the sum is 29.

The square root of 133972301 is about 11574.6404263804. The cubic root of 133972301 is about 511.6877330196.

The spelling of 133972301 in words is "one hundred thirty-three million, nine hundred seventy-two thousand, three hundred one".

Divisors: 1 37 73 193 257 2701 7141 9509 14089 18761 49601 521293 694157 1835237 3620873 133972301