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230320133020103 = 72312721811932539
BaseRepresentation
bin110100010111100110010101…
…101101101001100111000111
31010012111101112002002020022212
4310113212111231221213013
5220142031113023120403
62133503335230214035
766341036414543120
oct6427462555514707
91105441462066285
10230320133020103
1167429246724695
12219b970265431b
139b69131639979
1440c37a7d43047
151b9624dcbb4d8
hexd17995b699c7

230320133020103 has 96 divisors (see below), whose sum is σ = 279929371438080. Its totient is φ = 185273603665920.

The previous prime is 230320133020099. The next prime is 230320133020121. The reversal of 230320133020103 is 301020331023032.

It is not a de Polignac number, because 230320133020103 - 22 = 230320133020099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230320133020193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90712930208 + ... + 90712932746.

It is an arithmetic number, because the mean of its divisors is an integer number (2915930952480).

Almost surely, 2230320133020103 is an apocalyptic number.

230320133020103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

230320133020103 is a deficient number, since it is larger than the sum of its proper divisors (49609238417977).

230320133020103 is a wasteful number, since it uses less digits than its factorization.

230320133020103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 230320133020103 its reverse (301020331023032), we get a palindrome (531340464043135).

The spelling of 230320133020103 in words is "two hundred thirty trillion, three hundred twenty billion, one hundred thirty-three million, twenty thousand, one hundred three".

Divisors: 1 7 23 127 161 181 193 889 1267 1351 2539 2921 4163 4439 16129 17773 20447 22987 24511 29141 31073 34933 58397 112903 160909 171577 244531 322453 370967 408779 459559 490027 528701 563753 803459 2257171 2596769 2919349 3112897 3216913 3430189 3700907 3946271 4436491 5624213 7416419 10569857 11270621 20435443 21790279 31055437 40951531 51914933 58363993 62233429 67145027 71596631 73988999 78894347 88694887 102039293 286660717 408547951 435634003 470015189 501176417 563434357 620864209 714275051 941885213 1342371839 1431368867 2039982401 3944040499 6593196491 7412227111 7903645483 9396602873 10019582069 11264250649 12958990211 14279876807 51885589777 55325518381 78849754543 90712931477 170481223553 181783846109 259077764927 1193368564871 1272486922763 1430559832423 1813544354489 10013918826961 32902876145729 230320133020103