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242331213345 = 35132643148669
BaseRepresentation
bin1110000110110000010…
…0001101111000100001
3212011111110221010111220
43201230010031320201
512432243242311340
6303154142525253
723336123220114
oct3415404157041
9764443833456
10242331213345
119385471a341
123ab70296829
1319b0c354c00
14ba2c12457b
156484945ed0
hex386c10de21

242331213345 has 48 divisors (see below), whose sum is σ = 420505364160. Its totient is φ = 119115180288.

The previous prime is 242331213343. The next prime is 242331213349. The reversal of 242331213345 is 543312133242.

It is not a de Polignac number, because 242331213345 - 21 = 242331213343 is a prime.

It is a super-2 number, since 2×2423312133452 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242331213343) 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, 1555671 + ... + 1704339.

It is an arithmetic number, because the mean of its divisors is an integer number (8760528420).

Almost surely, 2242331213345 is an apocalyptic number.

It is an amenable number.

242331213345 is a deficient number, since it is larger than the sum of its proper divisors (178174150815).

242331213345 is a wasteful number, since it uses less digits than its factorization.

242331213345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149346 (or 149333 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

Adding to 242331213345 its reverse (543312133242), we get a palindrome (785643346587).

The spelling of 242331213345 in words is "two hundred forty-two billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 39 65 169 195 507 643 845 1929 2535 3215 8359 9645 25077 41795 108667 125385 148669 326001 446007 543335 743345 1630005 1932697 2230035 5798091 9663485 25125061 28990455 75375183 95594167 125625305 286782501 376875915 477970835 1242724171 1433912505 3728172513 6213620855 16155414223 18640862565 48466242669 80777071115 242331213345