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202023112300020 = 2232511102031874899
BaseRepresentation
bin101101111011110100101011…
…110110000101010111110100
3222111022012222001100101210100
4231323310223312011113310
5202434421313222100040
61553400045255154100
760360455024163504
oct5573645366052764
9874265861311710
10202023112300020
1159409580186230
121a7a9523675930
13889590bc4160b
1437c5d83c75a04
151855141160b30
hexb7bd2bd855f4

202023112300020 has 72 divisors (see below), whose sum is σ = 668512844344800. Its totient is φ = 48975299951040.

The previous prime is 202023112300019. The next prime is 202023112300067. The reversal of 202023112300020 is 20003211320202.

202023112300020 is a `hidden beast` number, since 202 + 0 + 231 + 1 + 230 + 0 + 0 + 2 + 0 = 666.

202023112300020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 202023112299966 and 202023112300002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51015935470 + ... + 51015939429.

It is an arithmetic number, because the mean of its divisors is an integer number (9284900615900).

Almost surely, 2202023112300020 is an apocalyptic number.

202023112300020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202023112300020 is an abundant number, since it is smaller than the sum of its proper divisors (466489732044780).

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

202023112300020 is a wasteful number, since it uses less digits than its factorization.

202023112300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102031874925 (or 102031874920 counting only the distinct ones).

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

Adding to 202023112300020 its reverse (20003211320202), we get a palindrome (222026323620222).

The spelling of 202023112300020 in words is "two hundred two trillion, twenty-three billion, one hundred twelve million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 102031874899 204063749798 306095624697 408127499596 510159374495 612191249394 918286874091 1020318748990 1122350623889 1224382498788 1530478123485 1836573748182 2040637497980 2244701247778 3060956246970 3367051871667 3673147496364 4489402495556 4591434370455 5611753119445 6121912493940 6734103743334 9182868740910 10101155615001 11223506238890 13468207486668 16835259358335 18365737481820 20202311230002 22447012477780 33670518716670 40404622460004 50505778075005 67341037433340 101011556150010 202023112300020