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122132331 = 32101134359
BaseRepresentation
bin1110100011110…
…01011101101011
322111210222001200
413101321131223
5222231213311
620041415243
73012051636
oct721713553
9274728050
10122132331
1162a38912
1234a9a523
131c3c2669
1412312c1d
15aac7556
hex747976b

122132331 has 12 divisors (see below), whose sum is σ = 178161360. Its totient is φ = 80614800.

The previous prime is 122132327. The next prime is 122132359. The reversal of 122132331 is 133231221.

It is not a de Polignac number, because 122132331 - 22 = 122132327 is a prime.

It is a super-2 number, since 2×1221323312 = 29832612550987122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122132531) 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, 66271 + ... + 68088.

It is an arithmetic number, because the mean of its divisors is an integer number (14846780).

Almost surely, 2122132331 is an apocalyptic number.

122132331 is a deficient number, since it is larger than the sum of its proper divisors (56029029).

122132331 is a wasteful number, since it uses less digits than its factorization.

122132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134466 (or 134463 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 122132331 is about 11051.3497365706. The cubic root of 122132331 is about 496.1468236751.

Adding to 122132331 its reverse (133231221), we get a palindrome (255363552).

The spelling of 122132331 in words is "one hundred twenty-two million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 101 303 909 134359 403077 1209231 13570259 40710777 122132331