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230633117331 = 38310940121191
BaseRepresentation
bin1101011011001011001…
…1100001011010010011
3211001022012220021120120
43112302303201122103
512234314034223311
6253541300041323
722443206102661
oct3266263413223
9731265807516
10230633117331
11898a14226a1
1238846693243
13189969069c6
14b23c653c31
155eec95d706
hex35b2ce1693

230633117331 has 32 divisors (see below), whose sum is σ = 314869040640. Its totient is φ = 150126912000.

The previous prime is 230633117321. The next prime is 230633117357. The reversal of 230633117331 is 133711336032.

It is not a de Polignac number, because 230633117331 - 237 = 93194163859 is a prime.

It is a super-2 number, since 2×2306331173312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230633117292 and 230633117301.

It is not an unprimeable number, because it can be changed into a prime (230633117321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10872946 + ... + 10894136.

It is an arithmetic number, because the mean of its divisors is an integer number (9839657520).

Almost surely, 2230633117331 is an apocalyptic number.

230633117331 is a deficient number, since it is larger than the sum of its proper divisors (84235923309).

230633117331 is a wasteful number, since it uses less digits than its factorization.

230633117331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21787.

The product of its (nonzero) digits is 20412, while the sum is 33.

The spelling of 230633117331 in words is "two hundred thirty billion, six hundred thirty-three million, one hundred seventeen thousand, three hundred thirty-one".

Divisors: 1 3 83 109 249 327 401 1203 9047 21191 27141 33283 43709 63573 99849 131127 1758853 2309819 3627847 5276559 6929457 8497591 10883541 25492773 191714977 575144931 705300053 926237419 2115900159 2778712257 76877705777 230633117331