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133949331 = 3210121459
BaseRepresentation
bin1111111101111…
…10011110010011
3100100001022221100
413332332132103
5233242334311
621142555443
73214356555
oct776763623
9310038840
10133949331
116967a12a
1238a38b83
132199c279
1413b0b4d5
15bb5da56
hex7fbe793

133949331 has 18 divisors (see below), whose sum is σ = 195550940. Its totient is φ = 88354800.

The previous prime is 133949329. The next prime is 133949353.

133949331 is a `hidden beast` number, since 133 + 9 + 493 + 31 = 666.

133949331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133949331 - 21 = 133949329 is a prime.

It is a super-2 number, since 2×1339493312 = 35884846550695122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133949371) 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, 91080 + ... + 92538.

Almost surely, 2133949331 is an apocalyptic number.

133949331 is a deficient number, since it is larger than the sum of its proper divisors (61601609).

133949331 is a wasteful number, since it uses less digits than its factorization.

133949331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1563 counting only the distinct ones).

The product of its digits is 26244, while the sum is 36.

The square root of 133949331 is about 11573.6481283993. The cubic root of 133949331 is about 511.6584878226.

The spelling of 133949331 in words is "one hundred thirty-three million, nine hundred forty-nine thousand, three hundred thirty-one".

Divisors: 1 3 9 101 303 909 1459 4377 10201 13131 30603 91809 147359 442077 1326231 14883259 44649777 133949331