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132412122 = 23237198817
BaseRepresentation
bin1111110010001…
…11001011011010
3100020011020021200
413321013023122
5232344141442
621050015030
73165325113
oct771071332
9306136250
10132412122
116881a207
1238417476
132158168b
141382b20a
15b95834c
hex7e472da

132412122 has 24 divisors (see below), whose sum is σ = 294648276. Its totient is φ = 42944256.

The previous prime is 132412109. The next prime is 132412139. The reversal of 132412122 is 221214231.

It is a happy number.

132412122 is a `hidden beast` number, since 132 + 412 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98783721 + 33628401 = 9939^2 + 5799^2 .

It is a super-3 number, since 3×1324121223 (a number of 25 digits) contains 333 as substring.

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 = 132412095 and 132412104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98743 + ... + 100074.

Almost surely, 2132412122 is an apocalyptic number.

132412122 is an abundant number, since it is smaller than the sum of its proper divisors (162236154).

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

132412122 is a wasteful number, since it uses less digits than its factorization.

132412122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198862 (or 198859 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 132412122 is about 11507.0466236998. The cubic root of 132412122 is about 509.6936799511.

Adding to 132412122 its reverse (221214231), we get a palindrome (353626353).

The spelling of 132412122 in words is "one hundred thirty-two million, four hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 198817 397634 596451 1192902 1789353 3578706 7356229 14712458 22068687 44137374 66206061 132412122