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132007122 = 23213564133
BaseRepresentation
bin1111101111001…
…00010011010010
3100012101122201200
413313210103102
5232243211442
621033212030
73162020262
oct767442322
9305348650
10132007122
11685729a5
1238261016
132146c230
14137637a2
15b8c834c
hex7de44d2

132007122 has 24 divisors (see below), whose sum is σ = 308017164. Its totient is φ = 40617504.

The previous prime is 132007121. The next prime is 132007129. The reversal of 132007122 is 221700231.

It can be written as a sum of positive squares in 2 ways, for example, as 131125401 + 881721 = 11451^2 + 939^2 .

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 = 132007095 and 132007104.

It is not an unprimeable number, because it can be changed into a prime (132007121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 281833 + ... + 282300.

Almost surely, 2132007122 is an apocalyptic number.

132007122 is an abundant number, since it is smaller than the sum of its proper divisors (176010042).

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

132007122 is a wasteful number, since it uses less digits than its factorization.

132007122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564154 (or 564151 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 132007122 is about 11489.4352341619. The cubic root of 132007122 is about 509.1734940447.

Adding to 132007122 its reverse (221700231), we get a palindrome (353707353).

The spelling of 132007122 in words is "one hundred thirty-two million, seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 564133 1128266 1692399 3384798 5077197 7333729 10154394 14667458 22001187 44002374 66003561 132007122