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10020022102020 = 223572317313710993
BaseRepresentation
bin1001000111001111011111…
…0110111010100000000100
31022110220102120100102100110
42101303313312322200010
52303132001124231040
633151045024113020
72052631326403500
oct221636766724004
938426376312313
1010020022102020
113213516289677
121159b45165770
13578b652a1278
14268d86329300
1512599cac7980
hex91cf7dba804

10020022102020 has 576 divisors, whose sum is σ = 34403343722496. Its totient is φ = 2169894666240.

The previous prime is 10020022102019. The next prime is 10020022102021. The reversal of 10020022102020 is 2020122002001.

10020022102020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10020022102019) and next prime (10020022102021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10020022101987 and 10020022102005.

It is not an unprimeable number, because it can be changed into a prime (10020022102021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 911485644 + ... + 911496636.

It is an arithmetic number, because the mean of its divisors is an integer number (59728027296).

Almost surely, 210020022102020 is an apocalyptic number.

10020022102020 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 10020022102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17201671861248).

10020022102020 is an abundant number, since it is smaller than the sum of its proper divisors (24383321620476).

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

10020022102020 is a wasteful number, since it uses less digits than its factorization.

10020022102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11260 (or 11251 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10020022102020 its reverse (2020122002001), we get a palindrome (12040144104021).

The spelling of 10020022102020 in words is "ten trillion, twenty billion, twenty-two million, one hundred two thousand, twenty".