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20202010000 = 24544753811
BaseRepresentation
bin10010110100001000…
…100011010110010000
31221010220122102212121
4102310020203112100
5312333203310000
613140343104024
71313424152224
oct226410432620
957126572777
1020202010000
118627565137
123ab9742014
131b9c4b6a93
14d9906c784
157d3870b1a
hex4b4223590

20202010000 has 200 divisors, whose sum is σ = 50956988544. Its totient is φ = 7750080000.

The previous prime is 20202009923. The next prime is 20202010009. The reversal of 20202010000 is 1020202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (20202010009) by changing a digit.

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, 24909595 + ... + 24910405.

Almost surely, 220202010000 is an apocalyptic number.

20202010000 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 20202010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25478494272).

20202010000 is an abundant number, since it is smaller than the sum of its proper divisors (30754978544).

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

20202010000 is an equidigital number, since it uses as much as digits as its factorization.

20202010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20202010000 its reverse (1020202), we get a palindrome (20203030202).

The spelling of 20202010000 in words is "twenty billion, two hundred two million, ten thousand".