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230300102002033 = 71721940114941709
BaseRepresentation
bin110100010111010011101011…
…110001011000010101110001
31010012102110211002012002021201
4310113103223301120111301
5220141214102103031113
62133450223432051201
766336430134650410
oct6427235361302561
91105373732162251
10230300102002033
11674207a773a2a8
12219b5852233b01
139b6728b6c185b
1440c28278a5477
151b9597a474cdd
hexd174ebc58571

230300102002033 has 48 divisors (see below), whose sum is σ = 295042591670400. Its totient is φ = 175571045683200.

The previous prime is 230300102002031. The next prime is 230300102002039. The reversal of 230300102002033 is 330200201003032.

It is a happy number.

It is not a de Polignac number, because 230300102002033 - 21 = 230300102002031 is a prime.

It is a super-2 number, since 2×2303001020020332 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 230300102002033.

It is not an unprimeable number, because it can be changed into a prime (230300102002031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7942383 + ... + 22884091.

It is an arithmetic number, because the mean of its divisors is an integer number (6146720659800).

Almost surely, 2230300102002033 is an apocalyptic number.

It is an amenable number.

230300102002033 is a deficient number, since it is larger than the sum of its proper divisors (64742489668367).

230300102002033 is a wasteful number, since it uses less digits than its factorization.

230300102002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14942170 (or 14942153 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 230300102002033 its reverse (330200201003032), we get a palindrome (560500303005065).

Subtracting 230300102002033 from its reverse (330200201003032), we obtain a palindrome (99900099000999).

The spelling of 230300102002033 in words is "two hundred thirty trillion, three hundred billion, one hundred two million, two thousand, thirty-three".

Divisors: 1 7 17 19 119 133 289 323 401 2023 2261 2807 5491 6817 7619 38437 47719 53333 115889 129523 811223 906661 2201891 14941709 15413237 104591963 254009053 283892471 1778063371 1987247297 4318153901 4826172007 5991625309 30227077307 33783204049 41941377163 82044924119 101857630253 113840880871 574314468833 713003411771 796886166097 1731579714301 1935294974807 12121058000107 13547064823649 32900014571719 230300102002033