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133033122 = 2327390729
BaseRepresentation
bin1111110110111…
…10110010100010
3100021022210010200
413323132302202
5233024024442
621111210030
73203522445
oct773366242
9307283120
10133033122
1169103832
1238676916
132173b231
141394d65c
15ba2c34c
hex7edeca2

133033122 has 12 divisors (see below), whose sum is σ = 288238470. Its totient is φ = 44344368.

The previous prime is 133033097. The next prime is 133033181. The reversal of 133033122 is 221330331.

133033122 is a `hidden beast` number, since 1 + 330 + 331 + 2 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121682961 + 11350161 = 11031^2 + 3369^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7390729 = 133033122 / (1 + 3 + 3 + 0 + 3 + 3 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 133033095 and 133033104.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3695347 + ... + 3695382.

Almost surely, 2133033122 is an apocalyptic number.

133033122 is an abundant number, since it is smaller than the sum of its proper divisors (155205348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133033122 is a wasteful number, since it uses less digits than its factorization.

133033122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7390737 (or 7390734 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133033122 is about 11533.9985260967. The cubic root of 133033122 is about 510.4892421701.

Adding to 133033122 its reverse (221330331), we get a palindrome (354363453).

The spelling of 133033122 in words is "one hundred thirty-three million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 7390729 14781458 22172187 44344374 66516561 133033122