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2202100002020 = 225110105000101
BaseRepresentation
bin100000000010110111011…
…000110110110011100100
321210112000010122200200002
4200002313120312303210
5242034400100031040
64403344125240432
7315045043114652
oct40026730666344
97715003580602
102202100002020
117799a6051646
122b6946a03118
1312c870972299
147882181bdd2
153c4359b9a15
hex200b7636ce4

2202100002020 has 12 divisors (see below), whose sum is σ = 4624410004284. Its totient is φ = 880840000800.

The previous prime is 2202100002007. The next prime is 2202100002059. The reversal of 2202100002020 is 202000012022.

It can be written as a sum of positive squares in 2 ways, for example, as 812662584484 + 1389437417536 = 901478^2 + 1178744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2202100001992 and 2202100002010.

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 3 ways as a sum of consecutive naturals, for example, 55052500031 + ... + 55052500070.

It is an arithmetic number, because the mean of its divisors is an integer number (385367500357).

Almost surely, 22202100002020 is an apocalyptic number.

2202100002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202100002020 is an abundant number, since it is smaller than the sum of its proper divisors (2422310002264).

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

2202100002020 is a wasteful number, since it uses less digits than its factorization.

2202100002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110105000110 (or 110105000108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2202100002020 its reverse (202000012022), we get a palindrome (2404100014042).

The spelling of 2202100002020 in words is "two trillion, two hundred two billion, one hundred million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 110105000101 220210000202 440420000404 550525000505 1101050001010 2202100002020