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242872101 = 342998421
BaseRepresentation
bin11100111100111…
…10111100100101
3121221000011220000
432132132330211
5444133401401
640033331513
76006243633
oct1636367445
9557004800
10242872101
1111510544a
1269406b99
133b418204
1424382353
15164c7186
hexe79ef25

242872101 has 10 divisors (see below), whose sum is σ = 362809062. Its totient is φ = 161914680.

The previous prime is 242872099. The next prime is 242872121. The reversal of 242872101 is 101278242.

It can be written as a sum of positive squares in only one way, i.e., 203747076 + 39125025 = 14274^2 + 6255^2 .

It is not a de Polignac number, because 242872101 - 21 = 242872099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242872121) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1499130 + ... + 1499291.

Almost surely, 2242872101 is an apocalyptic number.

It is an amenable number.

242872101 is a deficient number, since it is larger than the sum of its proper divisors (119936961).

242872101 is an equidigital number, since it uses as much as digits as its factorization.

242872101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998433 (or 2998424 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 242872101 is about 15584.3543658376. The cubic root of 242872101 is about 623.9156459568.

It can be divided in two parts, 2428 and 72101, that added together give a square (74529 = 2732).

The spelling of 242872101 in words is "two hundred forty-two million, eight hundred seventy-two thousand, one hundred one".

Divisors: 1 3 9 27 81 2998421 8995263 26985789 80957367 242872101