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180742113 = 32171181321
BaseRepresentation
bin10101100010111…
…10011111100001
3110121002122120100
422301132133201
5332232221423
625533533013
74323165636
oct1261363741
9417078510
10180742113
119302a252
1250644169
132b5a38c6
141a00c18d
1510d03343
hexac5e7e1

180742113 has 12 divisors (see below), whose sum is σ = 276429348. Its totient is φ = 113406720.

The previous prime is 180742109. The next prime is 180742127. The reversal of 180742113 is 311247081.

It can be written as a sum of positive squares in 2 ways, for example, as 164557584 + 16184529 = 12828^2 + 4023^2 .

It is not a de Polignac number, because 180742113 - 22 = 180742109 is a prime.

It is a super-2 number, since 2×1807421132 = 65335422823409538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (180742013) 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, 590508 + ... + 590813.

It is an arithmetic number, because the mean of its divisors is an integer number (23035779).

Almost surely, 2180742113 is an apocalyptic number.

It is an amenable number.

180742113 is a deficient number, since it is larger than the sum of its proper divisors (95687235).

180742113 is a wasteful number, since it uses less digits than its factorization.

180742113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181344 (or 1181341 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 180742113 is about 13444.0363358628. The cubic root of 180742113 is about 565.3965034675.

Adding to 180742113 its reverse (311247081), we get a palindrome (491989194).

The spelling of 180742113 in words is "one hundred eighty million, seven hundred forty-two thousand, one hundred thirteen".

Divisors: 1 3 9 17 51 153 1181321 3543963 10631889 20082457 60247371 180742113