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242102112 = 2537360271
BaseRepresentation
bin11100110111000…
…10111101100000
3121212120001122220
432123202331200
5443434231422
640005031040
75666556030
oct1633427540
9555501586
10242102112
1111472999a
12690b5480
133b2088b5
14242218c0
15163c3e5c
hexe6e2f60

242102112 has 48 divisors (see below), whose sum is σ = 726308352. Its totient is φ = 69171840.

The previous prime is 242102099. The next prime is 242102129. The reversal of 242102112 is 211201242.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2421021122 = 117226865269721088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242102091 and 242102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179464 + ... + 180807.

It is an arithmetic number, because the mean of its divisors is an integer number (15131424).

Almost surely, 2242102112 is an apocalyptic number.

It is an amenable number.

242102112 is an abundant number, since it is smaller than the sum of its proper divisors (484206240).

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

242102112 is a wasteful number, since it uses less digits than its factorization.

242102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360291 (or 360283 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 242102112 is about 15559.6308439500. The cubic root of 242102112 is about 623.2556047727.

Adding to 242102112 its reverse (211201242), we get a palindrome (453303354).

The spelling of 242102112 in words is "two hundred forty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 360271 720542 1080813 1441084 2161626 2521897 2882168 4323252 5043794 5764336 7565691 8646504 10087588 11528672 15131382 17293008 20175176 30262764 34586016 40350352 60525528 80700704 121051056 242102112