Search a number
-
+
122132034 = 23253128021
BaseRepresentation
bin1110100011110…
…01011001000010
322111210221122200
413101321121002
5222231211114
620041414030
73012051033
oct721713102
9274727580
10122132034
1162a38672
1234a9a316
131c3c249b
1412312a8a
15aac7409
hex7479642

122132034 has 24 divisors (see below), whose sum is σ = 269614332. Its totient is φ = 39942240.

The previous prime is 122131987. The next prime is 122132051. The reversal of 122132034 is 430231221.

It can be written as a sum of positive squares in 2 ways, for example, as 119836809 + 2295225 = 10947^2 + 1515^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122131998 and 122132016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63057 + ... + 64964.

Almost surely, 2122132034 is an apocalyptic number.

122132034 is an abundant number, since it is smaller than the sum of its proper divisors (147482298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122132034 is a wasteful number, since it uses less digits than its factorization.

122132034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128082 (or 128079 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 122132034 is about 11051.3362992898. The cubic root of 122132034 is about 496.1464215000.

Adding to 122132034 its reverse (430231221), we get a palindrome (552363255).

The spelling of 122132034 in words is "one hundred twenty-two million, one hundred thirty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 128021 256042 384063 768126 1152189 2304378 6785113 13570226 20355339 40710678 61066017 122132034