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1002220001020 = 2257295313733997
BaseRepresentation
bin11101001010110001111…
…01111001011011111100
310112210220102202011101001
432211120331321123330
5112410021310013040
62044225152500044
7132256642310140
oct16453075713374
93483812664331
101002220001020
11357048076587
121422a154a624
13736801b0c04
143671720d220
151b10b5d459a
hexe958f796fc

1002220001020 has 192 divisors, whose sum is σ = 2553799207680. Its totient is φ = 323124092928.

The previous prime is 1002220001011. The next prime is 1002220001039. The reversal of 1002220001020 is 201000222001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002220000988 and 1002220001006.

It is a congruent number.

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, 29462662 + ... + 29496658.

It is an arithmetic number, because the mean of its divisors is an integer number (13301037540).

Almost surely, 21002220001020 is an apocalyptic number.

1002220001020 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 1002220001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276899603840).

1002220001020 is an abundant number, since it is smaller than the sum of its proper divisors (1551579206660).

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

1002220001020 is a wasteful number, since it uses less digits than its factorization.

1002220001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34232 (or 34230 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002220001020 its reverse (201000222001), we get a palindrome (1203220223021).

The spelling of 1002220001020 in words is "one trillion, two billion, two hundred twenty million, one thousand, twenty".