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242330324031 = 32177018392693
BaseRepresentation
bin1110000110110000000…
…0110100110000111111
3212011111102020221121100
43201230000310300333
512432243030332111
6303154111504143
723336112524265
oct3415400646077
9764442227540
10242330324031
1193854172174
123ab6bb28053
1319b0c1031a3
14ba2bd72435
15648481c756
hex386c034c3f

242330324031 has 48 divisors (see below), whose sum is σ = 371731913280. Its totient is φ = 151596211200.

The previous prime is 242330324021. The next prime is 242330324053. The reversal of 242330324031 is 130423033242.

242330324031 is a `hidden beast` number, since 2 + 4 + 2 + 330 + 324 + 0 + 3 + 1 = 666.

It is not a de Polignac number, because 242330324031 - 25 = 242330323999 is a prime.

It is a super-2 number, since 2×2423303240312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242330323986 and 242330324004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242330324021) 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, 89983921 + ... + 89986613.

It is an arithmetic number, because the mean of its divisors is an integer number (7744414860).

Almost surely, 2242330324031 is an apocalyptic number.

242330324031 is a deficient number, since it is larger than the sum of its proper divisors (129401589249).

242330324031 is a wasteful number, since it uses less digits than its factorization.

242330324031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 242330324031 its reverse (130423033242), we get a palindrome (372753357273).

The spelling of 242330324031 in words is "two hundred forty-two billion, three hundred thirty million, three hundred twenty-four thousand, thirty-one".

Divisors: 1 3 9 17 51 153 701 839 2103 2517 2693 6309 7551 8079 11917 14263 24237 35751 42789 45781 107253 128367 137343 412029 588139 1764417 1887793 2259427 5293251 5663379 6778281 9998363 16990137 20334843 29995089 32092481 38410259 89985267 96277443 115230777 288832329 345692331 1583858327 4751574981 14254724943 26925591559 80776774677 242330324031