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1022122112020 = 225142217359353
BaseRepresentation
bin11101101111110110011…
…10011011010000010100
310121201021110002011011021
432313323032123100110
5113221301230041040
62101320104050524
7133563065413312
oct16677316332024
93551243064137
101022122112020
113645303160a9
12146116763a44
1375502503b59
14376844d30b2
151b8c396624a
hexedfb39b414

1022122112020 has 24 divisors (see below), whose sum is σ = 2146477501224. Its totient is φ = 408844832256.

The previous prime is 1022122111973. The next prime is 1022122112041. The reversal of 1022122112020 is 202112212201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 338123642256 + 683998469764 = 581484^2 + 827042^2 .

It is a super-2 number, since 2×10221221120202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1022122111985 and 1022122112003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2664664 + ... + 3024016.

It is an arithmetic number, because the mean of its divisors is an integer number (89436562551).

Almost surely, 21022122112020 is an apocalyptic number.

1022122112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022122112020 is an abundant number, since it is smaller than the sum of its proper divisors (1124355389204).

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

1022122112020 is a wasteful number, since it uses less digits than its factorization.

1022122112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501579 (or 501577 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1022122112020 its reverse (202112212201), we get a palindrome (1224234324221).

The spelling of 1022122112020 in words is "one trillion, twenty-two billion, one hundred twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 142217 284434 359353 568868 711085 718706 1422170 1437412 1796765 2844340 3593530 7187060 51106105601 102212211202 204424422404 255530528005 511061056010 1022122112020