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230313431403 = 33116117373483
BaseRepresentation
bin1101011001111111000…
…0000001000101101011
3211000110221100112221000
43112133300001011223
512233140214301103
6253445440050043
722432244603016
oct3263760010553
9730427315830
10230313431403
1189747a22950
1238777603923
1318945605733
14b20bdd837d
155ece861aa3
hex359fc0116b

230313431403 has 64 divisors (see below), whose sum is σ = 380517788160. Its totient is φ = 136500163200.

The previous prime is 230313431353. The next prime is 230313431417. The reversal of 230313431403 is 304134313032.

230313431403 is a `hidden beast` number, since 2 + 30 + 313 + 4 + 314 + 0 + 3 = 666.

230313431403 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230313431403 - 26 = 230313431339 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (230313431443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3097500 + ... + 3170982.

It is an arithmetic number, because the mean of its divisors is an integer number (5945590440).

Almost surely, 2230313431403 is an apocalyptic number.

230313431403 is a deficient number, since it is larger than the sum of its proper divisors (150204356757).

230313431403 is a wasteful number, since it uses less digits than its factorization.

230313431403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73737 (or 73731 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 230313431403 its reverse (304134313032), we get a palindrome (534447744435).

The spelling of 230313431403 in words is "two hundred thirty billion, three hundred thirteen million, four hundred thirty-one thousand, four hundred three".

Divisors: 1 3 9 11 27 33 61 99 173 183 297 519 549 671 1557 1647 1903 2013 4671 5709 6039 10553 17127 18117 31659 51381 73483 94977 116083 220449 284931 348249 661347 808313 1044747 1984041 2424939 3134241 4482463 7274817 12712559 13447389 21824451 38137677 40342167 49307093 114413031 121026501 139838149 147921279 343239093 419514447 443763837 775466099 1258543341 1331291511 2326398297 3775630023 6979194891 8530127089 20937584673 25590381267 76771143801 230313431403