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1020202221000 = 233533741224171
BaseRepresentation
bin11101101100010001100…
…10100111110111001000
310121112022122110120210110
432312020302213313020
5113203333232033000
62100401402114320
7133464363540354
oct16661062476710
93545278416713
101020202221000
11363735614606
1214587b7ab9a0
1375287827671
143754152c464
151b810129850
hexed88ca7dc8

1020202221000 has 256 divisors, whose sum is σ = 3348806872320. Its totient is φ = 258243840000.

The previous prime is 1020202220987. The next prime is 1020202221013. The reversal of 1020202221000 is 1222020201.

It is an interprime number because it is at equal distance from previous prime (1020202220987) and next prime (1020202221013).

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

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, 4438915 + ... + 4663085.

It is an arithmetic number, because the mean of its divisors is an integer number (13081276845).

Almost surely, 21020202221000 is an apocalyptic number.

1020202221000 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 1020202221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674403436160).

1020202221000 is an abundant number, since it is smaller than the sum of its proper divisors (2328604651320).

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

1020202221000 is a wasteful number, since it uses less digits than its factorization.

1020202221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224273 (or 224259 counting only the distinct ones).

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

Adding to 1020202221000 its reverse (1222020201), we get a palindrome (1021424241201).

The spelling of 1020202221000 in words is "one trillion, twenty billion, two hundred two million, two hundred twenty-one thousand".