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10020210102020 = 2252727371836973
BaseRepresentation
bin1001000111010000001100…
…0100000100111100000100
31022110220220200002210212102
42101310003010010330010
52303132342241231040
633151115421411232
72052636101361446
oct221640304047404
938426820083772
1010020210102020
113213602415878
121159b98109b18
13578b95216581
14268da32a6496
151259ae361515
hex91d03104f04

10020210102020 has 24 divisors (see below), whose sum is σ = 21042529822104. Its totient is φ = 4008067163136.

The previous prime is 10020210102013. The next prime is 10020210102029. The reversal of 10020210102020 is 2020101202001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1689563228224 + 8330646873796 = 1299832^2 + 2886286^2 .

It is a super-2 number, since 2×100202101020202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10020210101992 and 10020210102010.

It is not an unprimeable number, because it can be changed into a prime (10020210102029) 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, 4536254 + ... + 6373226.

It is an arithmetic number, because the mean of its divisors is an integer number (876772075921).

Almost surely, 210020210102020 is an apocalyptic number.

10020210102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020210102020 is an abundant number, since it is smaller than the sum of its proper divisors (11022319720084).

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

10020210102020 is a wasteful number, since it uses less digits than its factorization.

10020210102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109719 (or 2109717 counting only the distinct ones).

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

Adding to 10020210102020 its reverse (2020101202001), we get a palindrome (12040311304021).

The spelling of 10020210102020 in words is "ten trillion, twenty billion, two hundred ten million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 272737 545474 1090948 1363685 1836973 2727370 3673946 5454740 7347892 9184865 18369730 36739460 501010505101 1002021010202 2004042020404 2505052525505 5010105051010 10020210102020