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202022201000020 = 22530113335440177
BaseRepresentation
bin101101111011110011110101…
…100001110000000001010100
3222111022010121112120120012111
4231323303311201300001110
5202434412431424000040
61553355415023000404
760360423320232262
oct5573636541600124
9874263545516174
10202022201000020
1159409152836035
121a7a930a439104
1388957c51bc74b
1437c5cd8c17432
1518550db150dea
hexb7bcf5870054

202022201000020 has 24 divisors (see below), whose sum is σ = 424260711852264. Its totient is φ = 80806196637696.

The previous prime is 202022200999991. The next prime is 202022201000027. The reversal of 202022201000020 is 20000102220202.

202022201000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 134287259944644 + 67734941055376 = 11588238^2 + 8230124^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202022201000027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167117829 + ... + 168322348.

It is an arithmetic number, because the mean of its divisors is an integer number (17677529660511).

Almost surely, 2202022201000020 is an apocalyptic number.

202022201000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202022201000020 is an abundant number, since it is smaller than the sum of its proper divisors (222238510852244).

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

202022201000020 is a wasteful number, since it uses less digits than its factorization.

202022201000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335470299 (or 335470297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202022201000020 its reverse (20000102220202), we get a palindrome (222022303220222).

The spelling of 202022201000020 in words is "two hundred two trillion, twenty-two billion, two hundred one million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 30113 60226 120452 150565 301130 602260 335440177 670880354 1341760708 1677200885 3354401770 6708803540 10101110050001 20202220100002 40404440200004 50505550250005 101011100500010 202022201000020