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242123432313 = 37237127350521
BaseRepresentation
bin1110000101111110101…
…1100110000101111001
3212010221222221202112010
43201133223212011321
512431332044313223
6303121401240133
723331021134400
oct3413753460571
9763858852463
10242123432313
1193758402384
123ab12793049
1319aa82a5059
14ba0c6b8637
1564715a1393
hex385fae6179

242123432313 has 48 divisors (see below), whose sum is σ = 388726093824. Its totient is φ = 133556532480.

The previous prime is 242123432281. The next prime is 242123432333. The reversal of 242123432313 is 313234321242.

It is a happy number.

It is not a de Polignac number, because 242123432313 - 25 = 242123432281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242123432333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515493 + ... + 866013.

It is an arithmetic number, because the mean of its divisors is an integer number (8098460288).

Almost surely, 2242123432313 is an apocalyptic number.

It is an amenable number.

242123432313 is a deficient number, since it is larger than the sum of its proper divisors (146602661511).

242123432313 is a wasteful number, since it uses less digits than its factorization.

242123432313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350702 (or 350695 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 242123432313 its reverse (313234321242), we get a palindrome (555357753555).

The spelling of 242123432313 in words is "two hundred forty-two billion, one hundred twenty-three million, four hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 7 21 37 49 111 127 147 259 381 777 889 1813 2667 4699 5439 6223 14097 18669 32893 98679 230251 350521 690753 1051563 2453647 7360941 12969277 17175529 38907831 44516167 51526587 90784939 133548501 272354817 311613169 635494573 934839507 1647098179 1906483719 2181292183 4941294537 6543876549 11529687253 34589061759 80707810771 242123432313