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230893100991 = 3471907213539
BaseRepresentation
bin1101011100001001001…
…1010001111110111111
3211001222100002211010000
43113002103101332333
512240332113212431
6254023144245343
722452513655560
oct3270223217677
9731870084100
10230893100991
1189a15155223
12388b9770853
1318a087336a7
14b264dac167
1560156b59e6
hex35c24d1fbf

230893100991 has 40 divisors (see below), whose sum is σ = 394396421760. Its totient is φ = 131869110672.

The previous prime is 230893100969. The next prime is 230893101013. The reversal of 230893100991 is 199001398032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230893100969) and next prime (230893101013).

It is not a de Polignac number, because 230893100991 - 27 = 230893100863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230893100941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 974500 + ... + 1188038.

It is an arithmetic number, because the mean of its divisors is an integer number (9859910544).

Almost surely, 2230893100991 is an apocalyptic number.

230893100991 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230893100991 is a deficient number, since it is larger than the sum of its proper divisors (163503320769).

230893100991 is a wasteful number, since it uses less digits than its factorization.

230893100991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215465 (or 215456 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 230893100991 in words is "two hundred thirty billion, eight hundred ninety-three million, one hundred thousand, nine hundred ninety-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 1907 5721 13349 17163 40047 51489 120141 154467 213539 360423 640617 1081269 1494773 1921851 4484319 5765553 13452957 17296659 40358871 121076613 407218873 1221656619 2850532111 3664969857 8551596333 10994909571 25654788999 32984728713 76964366997 230893100991