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133105122 = 2327394729
BaseRepresentation
bin1111110111100…
…00010111100010
3100021110102220100
413323300113202
5233033330442
621112523230
73204242403
oct773602742
9307412810
10133105122
1169152937
12386b0516
1321764c37
141396b9aa
15ba4384c
hex7ef05e2

133105122 has 12 divisors (see below), whose sum is σ = 288394470. Its totient is φ = 44368368.

The previous prime is 133105097. The next prime is 133105129. The reversal of 133105122 is 221501331.

It can be written as a sum of positive squares in only one way, i.e., 107308881 + 25796241 = 10359^2 + 5079^2 .

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: 7394729 = 133105122 / (1 + 3 + 3 + 1 + 0 + 5 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 133105095 and 133105104.

It is not an unprimeable number, because it can be changed into a prime (133105129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3697347 + ... + 3697382.

Almost surely, 2133105122 is an apocalyptic number.

133105122 is an abundant number, since it is smaller than the sum of its proper divisors (155289348).

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

133105122 is a wasteful number, since it uses less digits than its factorization.

133105122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394737 (or 7394734 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 133105122 is about 11537.1193111626. The cubic root of 133105122 is about 510.5813209847.

Adding to 133105122 its reverse (221501331), we get a palindrome (354606453).

The spelling of 133105122 in words is "one hundred thirty-three million, one hundred five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 7394729 14789458 22184187 44368374 66552561 133105122