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230310300233 = 13371873255641
BaseRepresentation
bin1101011001111110010…
…0000100101001001001
3211000110201110110202202
43112133210010221021
512233133414101413
6253445245005545
722432206152156
oct3263744045111
9730421413682
10230310300233
1189746184402
12387765538b5
1318944a7a480
14b20b82122d
155ece443e58
hex359f904a49

230310300233 has 16 divisors (see below), whose sum is σ = 254866893456. Its totient is φ = 206737090560.

The previous prime is 230310300229. The next prime is 230310300247. The reversal of 230310300233 is 332003013032.

It can be written as a sum of positive squares in 8 ways, for example, as 47773719184 + 182536581049 = 218572^2 + 427243^2 .

It is not a de Polignac number, because 230310300233 - 22 = 230310300229 is a prime.

It is a super-3 number, since 3×2303103002333 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230310300263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773093 + ... + 1028733.

It is an arithmetic number, because the mean of its divisors is an integer number (15929180841).

Almost surely, 2230310300233 is an apocalyptic number.

It is an amenable number.

230310300233 is a deficient number, since it is larger than the sum of its proper divisors (24556593223).

230310300233 is a wasteful number, since it uses less digits than its factorization.

230310300233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257564.

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 230310300233 its reverse (332003013032), we get a palindrome (562313313265).

The spelling of 230310300233 in words is "two hundred thirty billion, three hundred ten million, three hundred thousand, two hundred thirty-three".

Divisors: 1 13 37 481 1873 24349 69301 255641 900913 3323333 9458717 122963321 478815593 6224602709 17716176941 230310300233