Search a number
-
+
202002022200020 = 22572206124512449
BaseRepresentation
bin101101111011100001000010…
…110001101111001011010100
3222111020012112020121022110112
4231323201002301233023110
5202434100120140400040
61553342240425142152
760356110264245500
oct5573410261571324
9874205466538415
10202002022200020
1159400638393a19
121a7a541862a958
13889392a7711c3
1437c4d42cab300
151854809867365
hexb7b842c6f2d4

202002022200020 has 36 divisors (see below), whose sum is σ = 493462082805300. Its totient is φ = 69257836182528.

The previous prime is 202002022200001. The next prime is 202002022200029. The reversal of 202002022200020 is 20002220200202.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36118801851664 + 165883220348356 = 6009892^2 + 12879566^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202002022199968 and 202002022200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202002022200029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103062255245 + ... + 103062257204.

It is an arithmetic number, because the mean of its divisors is an integer number (13707280077925).

Almost surely, 2202002022200020 is an apocalyptic number.

202002022200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202002022200020 is an abundant number, since it is smaller than the sum of its proper divisors (291460060605280).

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

202002022200020 is a wasteful number, since it uses less digits than its factorization.

202002022200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206124512472 (or 206124512463 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 202002022200020 its reverse (20002220200202), we get a palindrome (222004242400222).

The spelling of 202002022200020 in words is "two hundred two trillion, two billion, twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 206124512449 412249024898 824498049796 1030622562245 1442871587143 2061245124490 2885743174286 4122490248980 5771486348572 7214357935715 10100101110001 14428715871430 20200202220002 28857431742860 40400404440004 50500505550005 101001011100010 202002022200020