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133299261 = 32171097993
BaseRepresentation
bin1111111000111…
…11110000111101
3100021211022012200
413330133300331
5233111034021
621121022113
73206011404
oct774376075
9307738180
10133299261
1169275787
1238784939
1321802404
14139bc63b
15ba81126
hex7f1fc3d

133299261 has 24 divisors (see below), whose sum is σ = 205765560. Its totient is φ = 82861056.

The previous prime is 133299259. The next prime is 133299263. The reversal of 133299261 is 162992331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133299259) and next prime (133299263).

It can be written as a sum of positive squares in 4 ways, for example, as 20196036 + 113103225 = 4494^2 + 10635^2 .

It is not a de Polignac number, because 133299261 - 21 = 133299259 is a prime.

It is a super-2 number, since 2×1332992612 = 35537385966292242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133299263) 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 23 ways as a sum of consecutive naturals, for example, 12681 + ... + 20673.

It is an arithmetic number, because the mean of its divisors is an integer number (8573565).

Almost surely, 2133299261 is an apocalyptic number.

It is an amenable number.

133299261 is a deficient number, since it is larger than the sum of its proper divisors (72466299).

133299261 is a wasteful number, since it uses less digits than its factorization.

133299261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8125 (or 8122 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 133299261 is about 11545.5299142136. The cubic root of 133299261 is about 510.8294346377.

The spelling of 133299261 in words is "one hundred thirty-three million, two hundred ninety-nine thousand, two hundred sixty-one".

Divisors: 1 3 9 17 51 109 153 327 981 1853 5559 7993 16677 23979 71937 135881 407643 871237 1222929 2613711 7841133 14811029 44433087 133299261