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122366431 = 1191112211
BaseRepresentation
bin1110100101100…
…10100111011111
322112020212012001
413102302213133
5222311211211
620050423131
73014045305
oct722624737
9275225161
10122366431
1163088790
1234b91aa7
131c475095
1412374275
15ab21ac1
hex74b29df

122366431 has 8 divisors (see below), whose sum is σ = 133648128. Its totient is φ = 111111000.

The previous prime is 122366429. The next prime is 122366467. The reversal of 122366431 is 134663221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122366431 - 21 = 122366429 is a prime.

It is a super-2 number, since 2×1223664312 = 29947086871355522, 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 122366431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122366401) 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 7 ways as a sum of consecutive naturals, for example, 3916 + ... + 16126.

It is an arithmetic number, because the mean of its divisors is an integer number (16706016).

Almost surely, 2122366431 is an apocalyptic number.

122366431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122366431 is a deficient number, since it is larger than the sum of its proper divisors (11281697).

122366431 is a wasteful number, since it uses less digits than its factorization.

122366431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13133.

The product of its digits is 5184, while the sum is 28.

The square root of 122366431 is about 11061.9361325222. The cubic root of 122366431 is about 496.4636216914.

The spelling of 122366431 in words is "one hundred twenty-two million, three hundred sixty-six thousand, four hundred thirty-one".

Divisors: 1 11 911 10021 12211 134321 11124221 122366431