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242124141 = 3725927917
BaseRepresentation
bin11100110111010…
…00010101101101
3121212121011212210
432123220111231
5443440433031
640005321033
76000010200
oct1633502555
9555534783
10242124141
111147444a6
1269106179
133b21592c
1424229937
15163ca746
hexe6e856d

242124141 has 24 divisors (see below), whose sum is σ = 381918240. Its totient is φ = 136006752.

The previous prime is 242124133. The next prime is 242124173. The reversal of 242124141 is 141421242.

It is not a de Polignac number, because 242124141 - 23 = 242124133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242124101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5286 + ... + 22631.

It is an arithmetic number, because the mean of its divisors is an integer number (15913260).

Almost surely, 2242124141 is an apocalyptic number.

242124141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242124141 is a deficient number, since it is larger than the sum of its proper divisors (139794099).

242124141 is a wasteful number, since it uses less digits than its factorization.

242124141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27993 (or 27986 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 242124141 is about 15560.3387173930. The cubic root of 242124141 is about 623.2745076524.

Adding to 242124141 its reverse (141421242), we get a palindrome (383545383).

It can be divided in two parts, 2421 and 24141, that added together give a palindrome (26562).

The spelling of 242124141 in words is "two hundred forty-two million, one hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 7 21 49 59 147 177 413 1239 2891 8673 27917 83751 195419 586257 1367933 1647103 4103799 4941309 11529721 34589163 80708047 242124141