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133033121 = 13293111383
BaseRepresentation
bin1111110110111…
…10110010100001
3100021022210010122
413323132302201
5233024024441
621111210025
73203522444
oct773366241
9307283118
10133033121
1169103831
1238676915
132173b230
141394d65b
15ba2c34b
hex7edeca1

133033121 has 16 divisors (see below), whose sum is σ = 153000960. Its totient is φ = 114730560.

The previous prime is 133033097. The next prime is 133033181. The reversal of 133033121 is 121330331.

It is a cyclic number.

It is not a de Polignac number, because 133033121 - 26 = 133033057 is a prime.

It is a super-2 number, since 2×1330331212 = 35395622566001282, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133033121.

It is not an unprimeable number, because it can be changed into a prime (133033181) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5996 + ... + 17378.

It is an arithmetic number, because the mean of its divisors is an integer number (9562560).

Almost surely, 2133033121 is an apocalyptic number.

It is an amenable number.

133033121 is a deficient number, since it is larger than the sum of its proper divisors (19967839).

133033121 is a wasteful number, since it uses less digits than its factorization.

133033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11456.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 133033121 is about 11533.9984827466. The cubic root of 133033121 is about 510.4892408910.

Adding to 133033121 its reverse (121330331), we get a palindrome (254363452).

The spelling of 133033121 in words is "one hundred thirty-three million, thirty-three thousand, one hundred twenty-one".

Divisors: 1 13 29 31 377 403 899 11383 11687 147979 330107 352873 4291391 4587349 10233317 133033121