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242120961 = 3310218783
BaseRepresentation
bin11100110111001…
…11100100000001
3121212121000112000
432123213210001
5443440332321
640005254213
75666665005
oct1633474401
9555530460
10242120961
11114742075
1269104369
133b214354
1424228705
15163c9826
hexe6e7901

242120961 has 16 divisors (see below), whose sum is σ = 359089920. Its totient is φ = 161237520.

The previous prime is 242120951. The next prime is 242120981. The reversal of 242120961 is 169021242.

242120961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242120961 - 27 = 242120833 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (242120911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23176 + ... + 31958.

It is an arithmetic number, because the mean of its divisors is an integer number (22443120).

Almost surely, 2242120961 is an apocalyptic number.

It is an amenable number.

242120961 is a deficient number, since it is larger than the sum of its proper divisors (116968959).

242120961 is a wasteful number, since it uses less digits than its factorization.

242120961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9813 (or 9807 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 242120961 is about 15560.2365341919. The cubic root of 242120961 is about 623.2717789948.

The spelling of 242120961 in words is "two hundred forty-two million, one hundred twenty thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 1021 3063 8783 9189 26349 27567 79047 237141 8967443 26902329 80706987 242120961