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242142121020 = 22354035702017
BaseRepresentation
bin1110000110000011001…
…0111000110000111100
3212011000022010020121110
43201200302320300330
512431401340333040
6303123310002020
723331336032412
oct3414062706074
9764008106543
10242142121020
1193767a07498
123ab18aa6310
1319aac119667
14ba10d812b2
156473043980
hex3860cb8c3c

242142121020 has 24 divisors (see below), whose sum is σ = 677997939024. Its totient is φ = 64571232256.

The previous prime is 242142121003. The next prime is 242142121049. The reversal of 242142121020 is 20121241242.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2017850949 + ... + 2017851068.

It is an arithmetic number, because the mean of its divisors is an integer number (28249914126).

Almost surely, 2242142121020 is an apocalyptic number.

242142121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242142121020 is an abundant number, since it is smaller than the sum of its proper divisors (435855818004).

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

242142121020 is a wasteful number, since it uses less digits than its factorization.

242142121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035702029 (or 4035702027 counting only the distinct ones).

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

Adding to 242142121020 its reverse (20121241242), we get a palindrome (262263362262).

The spelling of 242142121020 in words is "two hundred forty-two billion, one hundred forty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4035702017 8071404034 12107106051 16142808068 20178510085 24214212102 40357020170 48428424204 60535530255 80714040340 121071060510 242142121020