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20221313013020 = 2257144437950093
BaseRepresentation
bin1001001100100001001000…
…01011011101010100011100
32122121010202001221102122202
410212100210023131110130
510122301222112404040
6111001313140031032
74154640662422040
oct446204413352434
978533661842582
1020221313013020
1164968a1033389
122327038992478
13b38b28020902
144dca06b72020
15251009487015
hex1264242dd51c

20221313013020 has 24 divisors (see below), whose sum is σ = 48531151231584. Its totient is φ = 6933021604416.

The previous prime is 20221313013007. The next prime is 20221313013089. The reversal of 20221313013020 is 2031031312202.

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 = 20221313012983 and 20221313013001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72218974907 + ... + 72218975186.

It is an arithmetic number, because the mean of its divisors is an integer number (2022131301316).

Almost surely, 220221313013020 is an apocalyptic number.

20221313013020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221313013020 is an abundant number, since it is smaller than the sum of its proper divisors (28309838218564).

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

20221313013020 is a wasteful number, since it uses less digits than its factorization.

20221313013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144437950109 (or 144437950107 counting only the distinct ones).

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

Adding to 20221313013020 its reverse (2031031312202), we get a palindrome (22252344325222).

The spelling of 20221313013020 in words is "twenty trillion, two hundred twenty-one billion, three hundred thirteen million, thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 144437950093 288875900186 577751800372 722189750465 1011065650651 1444379500930 2022131301302 2888759001860 4044262602604 5055328253255 10110656506510 20221313013020