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20202020000 = 255473101137
BaseRepresentation
bin10010110100001000…
…100101110010100000
31221010220122221120222
4102310020211302200
5312333204120000
613140343222212
71313424223331
oct226410456240
957126587528
1020202020000
1186275716a8
123ab9747968
131b9c4bb4b6
14d99072288
157d3873a85
hex4b4225ca0

20202020000 has 240 divisors, whose sum is σ = 51251025672. Its totient is φ = 7833600000.

The previous prime is 20202019993. The next prime is 20202020053. The reversal of 20202020000 is 2020202.

It can be written as a sum of positive squares in 20 ways, for example, as 1828759696 + 18373260304 = 42764^2 + 135548^2 .

It is a super-2 number, since 2×202020200002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 20202020000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 147459932 + ... + 147460068.

Almost surely, 220202020000 is an apocalyptic number.

20202020000 is a gapful number since it is divisible by the number (20) 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 20202020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25625512836).

20202020000 is an abundant number, since it is smaller than the sum of its proper divisors (31049005672).

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

20202020000 is a wasteful number, since it uses less digits than its factorization.

20202020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

Adding to 20202020000 its reverse (2020202), we get a palindrome (20204040202).

20202020000 divided by its reverse (2020202) gives a 4-th power (10000 = 104).

The spelling of 20202020000 in words is "twenty billion, two hundred two million, twenty thousand".