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242442101022 = 231123159711529
BaseRepresentation
bin1110000111001010101…
…1001110000100011110
3212011210012120210210220
43201302223032010132
512433010134213042
6303213143342210
723341640566602
oct3416253160436
9764705523726
10242442101022
1193901277950
123aba1451966
1319b2930b314
14ba3cb4b502
15648e54b8ec
hex3872ace11e

242442101022 has 32 divisors (see below), whose sum is σ = 551963047680. Its totient is φ = 70273072320.

The previous prime is 242442100997. The next prime is 242442101081. The reversal of 242442101022 is 220101244242.

It is a happy number.

242442101022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242442100983 and 242442101001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79854247 + ... + 79857282.

It is an arithmetic number, because the mean of its divisors is an integer number (17248845240).

Almost surely, 2242442101022 is an apocalyptic number.

242442101022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242442101022 is an abundant number, since it is smaller than the sum of its proper divisors (309520946658).

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

242442101022 is a wasteful number, since it uses less digits than its factorization.

242442101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159711568.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 242442101022 its reverse (220101244242), we get a palindrome (462543345264).

The spelling of 242442101022 in words is "two hundred forty-two billion, four hundred forty-two million, one hundred one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 759 1518 159711529 319423058 479134587 958269174 1756826819 3513653638 3673365167 5270480457 7346730334 10540960914 11020095501 22040191002 40407016837 80814033674 121221050511 242442101022