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133132122 = 2327396229
BaseRepresentation
bin1111110111101…
…10111101011010
3100021111210221100
413323312331122
5233040211442
621113252230
73204414204
oct773667532
9307453840
10133132122
1169171152
1238704076
1321774306
1413977774
15ba4b84c
hex7ef6f5a

133132122 has 12 divisors (see below), whose sum is σ = 288452970. Its totient is φ = 44377368.

The previous prime is 133132093. The next prime is 133132133. The reversal of 133132122 is 221231331.

It can be written as a sum of positive squares in only one way, i.e., 130439241 + 2692881 = 11421^2 + 1641^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7396229 = 133132122 / (1 + 3 + 3 + 1 + 3 + 2 + 1 + 2 + 2).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133132095 and 133132104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3698097 + ... + 3698132.

Almost surely, 2133132122 is an apocalyptic number.

133132122 is an abundant number, since it is smaller than the sum of its proper divisors (155320848).

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

133132122 is a wasteful number, since it uses less digits than its factorization.

133132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7396237 (or 7396234 counting only the distinct ones).

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

The square root of 133132122 is about 11538.2893879466. The cubic root of 133132122 is about 510.6158419795.

Adding to 133132122 its reverse (221231331), we get a palindrome (354363453).

The spelling of 133132122 in words is "one hundred thirty-three million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 7396229 14792458 22188687 44377374 66566061 133132122