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133030331 = 7311633761
BaseRepresentation
bin1111110110111…
…10000110111011
3100021022122022022
413323132012323
5233023432311
621111145055
73203511350
oct773360673
9307278268
10133030331
1169101725
123867518b
1321739b95
141394c627
15ba2b5db
hex7ede1bb

133030331 has 16 divisors (see below), whose sum is σ = 157943808. Its totient is φ = 109641600.

The previous prime is 133030327. The next prime is 133030361.

133030331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 133030331 - 22 = 133030327 is a prime.

It is a super-2 number, since 2×1330303312 = 35394137931939122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133030361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33491 + ... + 37251.

It is an arithmetic number, because the mean of its divisors is an integer number (9871488).

Almost surely, 2133030331 is an apocalyptic number.

133030331 is a deficient number, since it is larger than the sum of its proper divisors (24913477).

133030331 is a wasteful number, since it uses less digits than its factorization.

133030331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 133030331 is about 11533.8775353304. The cubic root of 133030331 is about 510.4856721683.

The spelling of 133030331 in words is "one hundred thirty-three million, thirty thousand, three hundred thirty-one".

Divisors: 1 7 31 163 217 1141 3761 5053 26327 35371 116591 613043 816137 4291301 19004333 133030331