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202121001020020 = 225100910015906889
BaseRepresentation
bin101101111101001111110110…
…011101111010101001110100
3222111122120122002020121100111
4231331033312131322221310
5202443022302230120040
61553513034522152404
760400521553444645
oct5575176635725164
9874576562217314
10202121001020020
1159447042879425
121a8044a2352704
1388a1c0c213b44
1437ca9cc7516cc
15185796ed55dea
hexb7d3f677aa74

202121001020020 has 24 divisors (see below), whose sum is σ = 424874770273800. Its totient is φ = 80768273144832.

The previous prime is 202121001020009. The next prime is 202121001020047. The reversal of 202121001020020 is 20020100121202.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5425200590436 + 196695800429584 = 2329206^2 + 14024828^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5007933265 + ... + 5007973624.

It is an arithmetic number, because the mean of its divisors is an integer number (17703115428075).

Almost surely, 2202121001020020 is an apocalyptic number.

202121001020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121001020020 is an abundant number, since it is smaller than the sum of its proper divisors (222753769253780).

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

202121001020020 is a wasteful number, since it uses less digits than its factorization.

202121001020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10015907907 (or 10015907905 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202121001020020 its reverse (20020100121202), we get a palindrome (222141101141222).

The spelling of 202121001020020 in words is "two hundred two trillion, one hundred twenty-one billion, one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 1009 2018 4036 5045 10090 20180 10015906889 20031813778 40063627556 50079534445 100159068890 200318137780 10106050051001 20212100102002 40424200204004 50530250255005 101060500510010 202121001020020