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122267133 = 3241932423
BaseRepresentation
bin1110100100110…
…10010111111101
322112001210222100
413102122113331
5222300022013
620044335313
73013152642
oct722322775
9275053870
10122267133
116302011a
1234b44539
131c43bb21
1412349dc9
15ab02473
hex749a5fd

122267133 has 12 divisors (see below), whose sum is σ = 177035040. Its totient is φ = 81314376.

The previous prime is 122267113. The next prime is 122267137. The reversal of 122267133 is 331762221.

It is not a de Polignac number, because 122267133 - 220 = 121218557 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122267097 and 122267106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122267137) 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 11 ways as a sum of consecutive naturals, for example, 12441 + ... + 19982.

It is an arithmetic number, because the mean of its divisors is an integer number (14752920).

Almost surely, 2122267133 is an apocalyptic number.

It is an amenable number.

122267133 is a deficient number, since it is larger than the sum of its proper divisors (54767907).

122267133 is a wasteful number, since it uses less digits than its factorization.

122267133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32848 (or 32845 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 122267133 is about 11057.4469476457. The cubic root of 122267133 is about 496.3292951307.

The spelling of 122267133 in words is "one hundred twenty-two million, two hundred sixty-seven thousand, one hundred thirty-three".

Divisors: 1 3 9 419 1257 3771 32423 97269 291807 13585237 40755711 122267133