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10010202020 = 22571329892131
BaseRepresentation
bin10010101001010011…
…11000111110100100
3221211121221221122222
421110221320332210
5131000102431040
64333145211512
7503030212310
oct112451707644
927747857588
1010010202020
114277552a35
121b34490b98
13c36b4cc80
146ad65ab40
153d8c25bb5
hex254a78fa4

10010202020 has 192 divisors, whose sum is σ = 27078105600. Its totient is φ = 3023032320.

The previous prime is 10010202001. The next prime is 10010202047. The reversal of 10010202020 is 2020201001.

10010202020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10010201989 and 10010202007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4696355 + ... + 4698485.

It is an arithmetic number, because the mean of its divisors is an integer number (141031800).

Almost surely, 210010202020 is an apocalyptic number.

10010202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539052800).

10010202020 is an abundant number, since it is smaller than the sum of its proper divisors (17067903580).

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

10010202020 is a wasteful number, since it uses less digits than its factorization.

10010202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10010202020 its reverse (2020201001), we get a palindrome (12030403021).

The spelling of 10010202020 in words is "ten billion, ten million, two hundred two thousand, twenty".