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1022201200020 = 22357211133765713
BaseRepresentation
bin11101101111111111111…
…00000111110110010100
310121201110221220020111110
432313333330013312110
5113221432001400040
62101332011135020
7133565045560500
oct16677774076624
93551427806443
101022201200020
11364570a24090
12146139144470
1375515a050a0
1437690bdd300
151b8ca889980
hexedfff07d94

1022201200020 has 576 divisors, whose sum is σ = 4017306053376. Its totient is φ = 190764564480.

The previous prime is 1022201199973. The next prime is 1022201200073. The reversal of 1022201200020 is 200021022201.

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 = 1022201199969 and 1022201200005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15522684 + ... + 15588396.

It is an arithmetic number, because the mean of its divisors is an integer number (6974489676).

Almost surely, 21022201200020 is an apocalyptic number.

1022201200020 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 1022201200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008653026688).

1022201200020 is an abundant number, since it is smaller than the sum of its proper divisors (2995104853356).

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

1022201200020 is a wasteful number, since it uses less digits than its factorization.

1022201200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65800 (or 65791 counting only the distinct ones).

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

Adding to 1022201200020 its reverse (200021022201), we get a palindrome (1222222222221).

It can be divided in two parts, 1022201 and 200020, that added together give a palindrome (1222221).

The spelling of 1022201200020 in words is "one trillion, twenty-two billion, two hundred one million, two hundred thousand, twenty".