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122211331 = 1123121051
BaseRepresentation
bin1110100100011…
…00110000000011
322111221222102121
413102030300003
5222241230311
620043225111
73012531154
oct722146003
9274858377
10122211331
1162a92200
1234b18197
131c41c5c8
141233392b
15aae0b71
hex748cc03

122211331 has 18 divisors (see below), whose sum is σ = 138936588. Its totient is φ = 107415000.

The previous prime is 122211319. The next prime is 122211347. The reversal of 122211331 is 133112221.

It is not a de Polignac number, because 122211331 - 213 = 122203139 is a prime.

It is a super-2 number, since 2×1222113312 = 29871218849583122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122211301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115756 + ... + 116806.

Almost surely, 2122211331 is an apocalyptic number.

122211331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122211331 is a deficient number, since it is larger than the sum of its proper divisors (16725257).

122211331 is a wasteful number, since it uses less digits than its factorization.

122211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1093 counting only the distinct ones).

The product of its digits is 72, while the sum is 16.

The square root of 122211331 is about 11054.9233828191. The cubic root of 122211331 is about 496.2537763842.

Adding to 122211331 its reverse (133112221), we get a palindrome (255323552).

The spelling of 122211331 in words is "one hundred twenty-two million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 11 31 121 341 961 1051 3751 10571 11561 32581 116281 127171 358391 1010011 3942301 11110121 122211331