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230013312012020 = 22531336743340577
BaseRepresentation
bin110100010011001000100101…
…110000011000111011110100
31010011102001120012020002112202
4310103020211300120323310
5220122014230333341040
62133110353511204032
766306625203160505
oct6423104560307364
91104361505202482
10230013312012020
1167320109218029
122196a154976618
139b46215615204
1440b29bcd58bac
151b8d29289d015
hexd13225c18ef4

230013312012020 has 24 divisors (see below), whose sum is σ = 484571175542664. Its totient is φ = 91711378077696.

The previous prime is 230013312011999. The next prime is 230013312012037. The reversal of 230013312012020 is 20210213310032.

It can be written as a sum of positive squares in 4 ways, for example, as 954833848336 + 229058478163684 = 977156^2 + 15134678^2 .

It is a super-2 number, since 2×2300133120120202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 230013312011983 and 230013312012001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18371664029 + ... + 18371676548.

It is an arithmetic number, because the mean of its divisors is an integer number (20190465647611).

Almost surely, 2230013312012020 is an apocalyptic number.

230013312012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230013312012020 is an abundant number, since it is smaller than the sum of its proper divisors (254557863530644).

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

230013312012020 is a wasteful number, since it uses less digits than its factorization.

230013312012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36743340899 (or 36743340897 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 230013312012020 its reverse (20210213310032), we get a palindrome (250223525322052).

The spelling of 230013312012020 in words is "two hundred thirty trillion, thirteen billion, three hundred twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 313 626 1252 1565 3130 6260 36743340577 73486681154 146973362308 183716702885 367433405770 734866811540 11500665600601 23001331201202 46002662402404 57503328003005 115006656006010 230013312012020