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230230103313 = 3731346316619
BaseRepresentation
bin1101011001101011001…
…0001001010100010001
3211000021010120001021110
43112122302021110101
512233002401301223
6253433302043533
722430213406000
oct3263262112421
9730233501243
10230230103313
1189704989261
12387537195a9
131893127b582
14b200d06c37
155ec73a1d93
hex359ac89511

230230103313 has 32 divisors (see below), whose sum is σ = 358034688000. Its totient is φ = 131542371408.

The previous prime is 230230103287. The next prime is 230230103351. The reversal of 230230103313 is 313301032032.

It is not a de Polignac number, because 230230103313 - 218 = 230229841169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 230230103313.

It is not an unprimeable number, because it can be changed into a prime (230230103413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13845118 + ... + 13861736.

It is an arithmetic number, because the mean of its divisors is an integer number (11188584000).

Almost surely, 2230230103313 is an apocalyptic number.

It is an amenable number.

230230103313 is a deficient number, since it is larger than the sum of its proper divisors (127804584687).

230230103313 is a wasteful number, since it uses less digits than its factorization.

230230103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30106 (or 30092 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 230230103313 its reverse (313301032032), we get a palindrome (543531135345).

The spelling of 230230103313 in words is "two hundred thirty billion, two hundred thirty million, one hundred three thousand, three hundred thirteen".

Divisors: 1 3 7 21 49 147 343 1029 13463 16619 40389 49857 94241 116333 282723 348999 659687 814331 1979061 2442993 4617809 5700317 13853427 17100951 223741597 671224791 1566191179 4698573537 10963338253 32890014759 76743367771 230230103313