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2022121011020 = 22511711973112113
BaseRepresentation
bin11101011011001111110…
…011011111011101001100
321011022110002102122100112
4131123033303133131030
5231112300434323040
64144541035015152
7266044020665405
oct35331763373514
97138402378315
102022121011020
1170a638659880
12287a9829a4b8
131188ba4a54c6
146dc2a7309ac
1537900061365
hex1d6cfcdf74c

2022121011020 has 192 divisors, whose sum is σ = 4739011909632. Its totient is φ = 718620672000.

The previous prime is 2022121011013. The next prime is 2022121011041. The reversal of 2022121011020 is 201101212202.

It is a super-2 number, since 2×20221210110202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2022121010986 and 2022121011004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 956989484 + ... + 956991596.

It is an arithmetic number, because the mean of its divisors is an integer number (24682353696).

Almost surely, 22022121011020 is an apocalyptic number.

2022121011020 is a gapful number since it is divisible by the number (20) 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 2022121011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369505954816).

2022121011020 is an abundant number, since it is smaller than the sum of its proper divisors (2716890898612).

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

2022121011020 is a wasteful number, since it uses less digits than its factorization.

2022121011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2022121011020 its reverse (201101212202), we get a palindrome (2223222223222).

The spelling of 2022121011020 in words is "two trillion, twenty-two billion, one hundred twenty-one million, eleven thousand, twenty".