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242122253355 = 33597110911693
BaseRepresentation
bin1110000101111110011…
…1000110010000101011
3212010221220201212022000
43201133213012100223
512431331244101410
6303121320102043
723331005124243
oct3413747062053
9763856655260
10242122253355
1193757777634
123ab12304923
1319aa7c81548
14ba0c48cb23
15647141bdc0
hex385f9c642b

242122253355 has 64 divisors (see below), whose sum is σ = 431532541440. Its totient is φ = 128804515200.

The previous prime is 242122253353. The next prime is 242122253363. The reversal of 242122253355 is 553352221242.

It is a happy number.

242122253355 is a `hidden beast` number, since 2 + 42 + 12 + 2 + 253 + 355 = 666.

It is not a de Polignac number, because 242122253355 - 21 = 242122253353 is a prime.

It is a super-3 number, since 3×2421222533553 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (242122253353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143012889 + ... + 143014581.

It is an arithmetic number, because the mean of its divisors is an integer number (6742695960).

Almost surely, 2242122253355 is an apocalyptic number.

242122253355 is a deficient number, since it is larger than the sum of its proper divisors (189410288085).

242122253355 is a wasteful number, since it uses less digits than its factorization.

242122253355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3769 (or 3763 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 242122253355 its reverse (553352221242), we get a palindrome (795474474597).

The spelling of 242122253355 in words is "two hundred forty-two billion, one hundred twenty-two million, two hundred fifty-three thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 971 1091 1693 2913 3273 4855 5079 5455 8465 8739 9819 14565 15237 16365 25395 26217 29457 43695 45711 49095 76185 131085 147285 228555 1059361 1643903 1847063 3178083 4931709 5296805 5541189 8219515 9235315 9534249 14795127 15890415 16623567 24658545 27705945 28602747 44385381 47671245 49870701 73975635 83117835 143013735 221926905 249353505 1793498173 5380494519 8967490865 16141483557 26902472595 48424450671 80707417785 242122253355