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133222331 = 1126716433
BaseRepresentation
bin1111111000011…
…00111110111011
3100021200101200102
413330030332323
5233101103311
621115230015
73205241204
oct774147673
9307611612
10133222331
1169222a00
123874830b
13217a63a8
141399c5ab
15ba6843b
hex7f0cfbb

133222331 has 12 divisors (see below), whose sum is σ = 148629096. Its totient is φ = 119296320.

The previous prime is 133222321. The next prime is 133222391.

133222331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133222331 - 26 = 133222267 is a prime.

It is a super-2 number, since 2×1332223312 = 35496378954147122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133222301) 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 11 ways as a sum of consecutive naturals, for example, 110 + ... + 16323.

It is an arithmetic number, because the mean of its divisors is an integer number (12385758).

Almost surely, 2133222331 is an apocalyptic number.

133222331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133222331 is a deficient number, since it is larger than the sum of its proper divisors (15406765).

133222331 is a wasteful number, since it uses less digits than its factorization.

133222331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16522 (or 16511 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 133222331 is about 11542.1978409660. The cubic root of 133222331 is about 510.7311453437.

The spelling of 133222331 in words is "one hundred thirty-three million, two hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 11 67 121 737 8107 16433 180763 1101011 1988393 12111121 133222331