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242104181 = 1126132801
BaseRepresentation
bin11100110111000…
…11011101110101
3121212120011111112
432123203131311
5443434313211
640005044405
75666565044
oct1633433565
9555504445
10242104181
11114730500
12690b6705
133b209817
142422255b
15163c488b
hexe6e3775

242104181 has 12 divisors (see below), whose sum is σ = 270485292. Its totient is φ = 216480000.

The previous prime is 242104169. The next prime is 242104183. The reversal of 242104181 is 181401242.

It can be written as a sum of positive squares in 2 ways, for example, as 19945156 + 222159025 = 4466^2 + 14905^2 .

It is not a de Polignac number, because 242104181 - 218 = 241842037 is a prime.

It is a super-2 number, since 2×2421041812 = 117228868915361522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242104183) 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, 9020 + ... + 23781.

It is an arithmetic number, because the mean of its divisors is an integer number (22540441).

Almost surely, 2242104181 is an apocalyptic number.

It is an amenable number.

242104181 is a deficient number, since it is larger than the sum of its proper divisors (28381111).

242104181 is a wasteful number, since it uses less digits than its factorization.

242104181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32884 (or 32873 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 242104181 is about 15559.6973299611. The cubic root of 242104181 is about 623.2573802111.

The spelling of 242104181 in words is "two hundred forty-two million, one hundred four thousand, one hundred eighty-one".

Divisors: 1 11 61 121 671 7381 32801 360811 2000861 3968921 22009471 242104181