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2202101010020 = 225110105050501
BaseRepresentation
bin100000000010110111011…
…100101100111001100100
321210112000012112220101102
4200002313130230321210
5242034400324310040
64403344203015232
7315045054513512
oct40026734547144
97715005486342
102202101010020
117799a667a9aa
122b694720a518
1312c870c36032
1478821a014b2
153c435b18515
hex200b772ce64

2202101010020 has 12 divisors (see below), whose sum is σ = 4624412121084. Its totient is φ = 880840404000.

The previous prime is 2202101010017. The next prime is 2202101010037. The reversal of 2202101010020 is 200101012022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 452412283456 + 1749688726564 = 672616^2 + 1322758^2 .

It is a super-2 number, since 2×22021010100202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2202101009983 and 2202101010010.

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, 55052525231 + ... + 55052525270.

It is an arithmetic number, because the mean of its divisors is an integer number (385367676757).

Almost surely, 22202101010020 is an apocalyptic number.

2202101010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202101010020 is an abundant number, since it is smaller than the sum of its proper divisors (2422311111064).

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

2202101010020 is a wasteful number, since it uses less digits than its factorization.

2202101010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110105050510 (or 110105050508 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2202101010020 its reverse (200101012022), we get a palindrome (2402202022042).

The spelling of 2202101010020 in words is "two trillion, two hundred two billion, one hundred one million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 110105050501 220210101002 440420202004 550525252505 1101050505010 2202101010020