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230102012230002 = 232112105648306809
BaseRepresentation
bin110100010100011011001100…
…101100110111100101110010
31010011201112111212100000221100
4310110123030230313211302
5220124442410112330002
62133215223300505230
766316215240452223
oct6424331454674562
91104645455300840
10230102012230002
116735479617a700
122198338a3ab216
139b516b00777b3
1440b6dd539124a
151b90734a7e11c
hexd146ccb37972

230102012230002 has 36 divisors (see below), whose sum is σ = 547997767423470. Its totient is φ = 69727882493280.

The previous prime is 230102012229961. The next prime is 230102012230049. The reversal of 230102012230002 is 200032210201032.

230102012230002 is a `hidden beast` number, since 230 + 1 + 0 + 201 + 2 + 230 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 178797038993001 + 51304973237001 = 13371501^2 + 7162749^2 .

It is a super-3 number, since 3×2301020122300023 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52824151227 + ... + 52824155582.

Almost surely, 2230102012230002 is an apocalyptic number.

230102012230002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

230102012230002 is an abundant number, since it is smaller than the sum of its proper divisors (317895755193468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230102012230002 is a wasteful number, since it uses less digits than its factorization.

230102012230002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105648306839 (or 105648306825 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 230102012230002 its reverse (200032210201032), we get a palindrome (430134222431034).

The spelling of 230102012230002 in words is "two hundred thirty trillion, one hundred two billion, twelve million, two hundred thirty thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 105648306809 211296613618 316944920427 633889840854 950834761281 1162131374899 1901669522562 2324262749798 3486394124697 6972788249394 10459182374091 12783445123889 20918364748182 25566890247778 38350335371667 76700670743334 115051006115001 230102012230002