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133022131 = 111031131039
BaseRepresentation
bin1111110110111…
…00000110110011
3100021022020001121
413323130012303
5233023202011
621111043111
73203445424
oct773340663
9307266047
10133022131
11690a6550
1238670497
1321736228
141394964b
15ba28e71
hex7edc1b3

133022131 has 16 divisors (see below), whose sum is σ = 147962880. Its totient is φ = 118581120.

The previous prime is 133022129. The next prime is 133022137. The reversal of 133022131 is 131220331.

It is a cyclic number.

It is not a de Polignac number, because 133022131 - 21 = 133022129 is a prime.

It is a super-2 number, since 2×1330221312 = 35389774671562322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133022137) 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, 127510 + ... + 128548.

It is an arithmetic number, because the mean of its divisors is an integer number (9247680).

Almost surely, 2133022131 is an apocalyptic number.

133022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133022131 is a deficient number, since it is larger than the sum of its proper divisors (14940749).

133022131 is a wasteful number, since it uses less digits than its factorization.

133022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 133022131 is about 11533.5220552960. The cubic root of 133022131 is about 510.4751831606.

Adding to 133022131 its reverse (131220331), we get a palindrome (264242462).

The spelling of 133022131 in words is "one hundred thirty-three million, twenty-two thousand, one hundred thirty-one".

Divisors: 1 11 103 113 1039 1133 1243 11429 11639 107017 117407 128029 1177187 1291477 12092921 133022131