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1022221000020 = 22351117113806257
BaseRepresentation
bin11101110000000010001…
…11101001110101010100
310121201112100011011222210
432320001013221311110
5113222002034000040
62101333555353420
7133565406064443
oct16700107516524
93551470134883
101022221000020
11364581118120
121461438b2870
1375519b4846c
14376936b4d5a
151b8cc49b480
hexee011e9d54

1022221000020 has 192 divisors, whose sum is σ = 3335353894656. Its totient is φ = 231169720320.

The previous prime is 1022221000019. The next prime is 1022221000049. The reversal of 1022221000020 is 200001222201.

It is a super-4 number, since 4×10222210000204 (a number of 49 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864732 + ... + 1670988.

It is an arithmetic number, because the mean of its divisors is an integer number (17371634868).

Almost surely, 21022221000020 is an apocalyptic number.

1022221000020 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 1022221000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667676947328).

1022221000020 is an abundant number, since it is smaller than the sum of its proper divisors (2313132894636).

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

1022221000020 is a wasteful number, since it uses less digits than its factorization.

1022221000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806410 (or 806408 counting only the distinct ones).

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

Adding to 1022221000020 its reverse (200001222201), we get a palindrome (1222222222221).

The spelling of 1022221000020 in words is "one trillion, twenty-two billion, two hundred twenty-one million, twenty", and thus it is an aban number.