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242115121052 = 2271912711233191
BaseRepresentation
bin1110000101111100101…
…1111000111110011100
3212010221102022111121122
43201133023320332130
512431322432333202
6303120503150112
723330560400330
oct3413713707634
9763842274548
10242115121052
1193753745a72
123ab0ba45338
1319aa665504c
14ba0b5537c0
1564709ad9a2
hex385f2f8f9c

242115121052 has 96 divisors (see below), whose sum is σ = 514348154880. Its totient is φ = 97410962880.

The previous prime is 242115121037. The next prime is 242115121063. The reversal of 242115121052 is 250121511242.

It is a happy number.

It is a super-2 number, since 2×2421151210522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75872777 + ... + 75875967.

It is an arithmetic number, because the mean of its divisors is an integer number (5357793280).

Almost surely, 2242115121052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242115121052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257174077440).

242115121052 is an abundant number, since it is smaller than the sum of its proper divisors (272233033828).

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

242115121052 is a wasteful number, since it uses less digits than its factorization.

242115121052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4469 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

Adding to 242115121052 its reverse (250121511242), we get a palindrome (492236632294).

The spelling of 242115121052 in words is "two hundred forty-two billion, one hundred fifteen million, one hundred twenty-one thousand, fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 127 133 254 266 508 532 889 1123 1778 2246 2413 3191 3556 4492 4826 6382 7861 9652 12764 15722 16891 21337 22337 31444 33782 42674 44674 60629 67564 85348 89348 121258 142621 149359 242516 285242 298718 405257 424403 570484 597436 810514 848806 998347 1621028 1697612 1996694 2709799 2836799 3583493 3993388 5419598 5673598 7166986 7699883 10839196 11347196 14333972 15399766 18968593 25084451 30799532 37937186 50168902 53899181 68086367 75874372 100337804 107798362 136172734 215596724 272345468 455103611 476604569 910207222 953209138 1820414444 1906418276 3185725277 6371450554 8646968609 12742901108 17293937218 34587874436 60528780263 121057560526 242115121052