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230041821231 = 33191127934877
BaseRepresentation
bin1101011000111110001…
…1111010000000101111
3210222210000021022211000
43112033203322000233
512232111201234411
6253402454331343
722422436134435
oct3261743720057
9728700238730
10230041821231
118961867a132
1238700659b53
1318901267a61
14b1c3cd4d55
155eb5aae956
hex358f8fa02f

230041821231 has 32 divisors (see below), whose sum is σ = 342864691200. Its totient is φ = 152434625760.

The previous prime is 230041821223. The next prime is 230041821287. The reversal of 230041821231 is 132128140032.

230041821231 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 418 + 212 + 31 = 666.

It is not a de Polignac number, because 230041821231 - 23 = 230041821223 is a prime.

It is a super-2 number, since 2×2300418212312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230041821195 and 230041821204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230041821431) 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, 6578365 + ... + 6613241.

It is an arithmetic number, because the mean of its divisors is an integer number (10714521600).

Almost surely, 2230041821231 is an apocalyptic number.

230041821231 is a deficient number, since it is larger than the sum of its proper divisors (112822869969).

230041821231 is a wasteful number, since it uses less digits than its factorization.

230041821231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36356 (or 36350 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 230041821231 its reverse (132128140032), we get a palindrome (362169961263).

The spelling of 230041821231 in words is "two hundred thirty billion, forty-one million, eight hundred twenty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 27 191 573 1279 1719 3837 5157 11511 34533 34877 104631 244289 313893 732867 941679 2198601 6595803 6661507 19984521 44607683 59953563 133823049 179860689 401469147 1204407441 8520067453 25560202359 76680607077 230041821231