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242122330212 = 223710757746687
BaseRepresentation
bin1110000101111110011…
…1011001000001100100
3212010221220212202201120
43201133213121001210
512431331304031322
6303121321453540
723331005564310
oct3413747310144
9763856782646
10242122330212
119375781a354
123ab123412b0
1319aa7caa519
14ba0c4acb40
156471434a5c
hex385f9d9064

242122330212 has 96 divisors (see below), whose sum is σ = 652837183488. Its totient is φ = 68411049984.

The previous prime is 242122330211. The next prime is 242122330213. The reversal of 242122330212 is 212033221242.

242122330212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242122330211) and next prime (242122330213).

It is not an unprimeable number, because it can be changed into a prime (242122330211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5162733 + ... + 5209419.

It is an arithmetic number, because the mean of its divisors is an integer number (6800387328).

Almost surely, 2242122330212 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 242122330212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326418591744).

242122330212 is an abundant number, since it is smaller than the sum of its proper divisors (410714853276).

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

242122330212 is a wasteful number, since it uses less digits than its factorization.

242122330212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47385 (or 47383 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242122330212 its reverse (212033221242), we get a palindrome (454155551454).

The spelling of 242122330212 in words is "two hundred forty-two billion, one hundred twenty-two million, three hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 577 642 749 1154 1284 1498 1731 2247 2308 2996 3462 4039 4494 6924 8078 8988 12117 16156 24234 46687 48468 61739 93374 123478 140061 185217 186748 246956 280122 326809 370434 432173 560244 653618 740868 864346 980427 1296519 1307236 1728692 1960854 2593038 3921708 4995509 5186076 9991018 14986527 19982036 26938399 29973054 34968563 53876798 59946108 69937126 80815197 104905689 107753596 139874252 161630394 188568793 209811378 323260788 377137586 419622756 565706379 754275172 1131412758 2262825516 2882408693 5764817386 8647226079 11529634772 17294452158 20176860851 34588904316 40353721702 60530582553 80707443404 121061165106 242122330212