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242162212122 = 232317122726927
BaseRepresentation
bin1110000110000111111…
…1100001110100011010
3212011001200220222102100
43201201333201310122
512431422011241442
6303125304344230
723332001561145
oct3414177416432
9764050828370
10242162212122
119377828a206
123ab23775076
1319ab333239c
14ba138d105c
156474bb184c
hex3861fe1d1a

242162212122 has 96 divisors (see below), whose sum is σ = 551678459904. Its totient is φ = 76674477600.

The previous prime is 242162212057. The next prime is 242162212133. The reversal of 242162212122 is 221212261242.

242162212122 is a `hidden beast` number, since 2 + 4 + 2 + 1 + 622 + 12 + 1 + 22 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8979823 + ... + 9006749.

It is an arithmetic number, because the mean of its divisors is an integer number (5746650624).

Almost surely, 2242162212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242162212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275839229952).

242162212122 is an abundant number, since it is smaller than the sum of its proper divisors (309516247782).

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

242162212122 is a wasteful number, since it uses less digits than its factorization.

242162212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27264 (or 27261 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 242162212122 its reverse (221212261242), we get a palindrome (463374473364).

The spelling of 242162212122 in words is "two hundred forty-two billion, one hundred sixty-two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 62 71 93 142 186 213 227 279 426 454 558 639 681 1278 1362 2043 2201 4086 4402 6603 7037 13206 14074 16117 19809 21111 26927 32234 39618 42222 48351 53854 63333 80781 96702 126666 145053 161562 242343 290106 484686 499627 834737 999254 1498881 1669474 1911817 2504211 2997762 3823634 4496643 5008422 5735451 6112429 7512633 8993286 11470902 12224858 15025266 17206353 18337287 34412706 36674574 55011861 59266327 110023722 118532654 177798981 189485299 355597962 378970598 433982459 533396943 568455897 867964918 1066793886 1136911794 1301947377 1705367691 2603894754 3410735382 3905842131 7811684262 13453456229 26906912458 40360368687 80720737374 121081106061 242162212122