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20200202002000 = 245310100101001
BaseRepresentation
bin1001001011111001110011…
…10111010101111001010000
32122112010020210211221210201
410211330321313111321100
510121430003203031000
6110543502241504544
74153262556661666
oct445747167257120
978463223757721
1020200202002000
116488948459339
122322b26942154
13b36b4240b507
144db9a30c2c36
152506c0e0c96a
hex125f39dd5e50

20200202002000 has 40 divisors (see below), whose sum is σ = 48844088445672. Its totient is φ = 8080080800000.

The previous prime is 20200202001997. The next prime is 20200202002007. The reversal of 20200202002000 is 20020200202.

It can be written as a sum of positive squares in 4 ways, for example, as 53677475856 + 20146524526144 = 231684^2 + 4488488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200202002007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5050048501 + ... + 5050052500.

Almost surely, 220200202002000 is an apocalyptic number.

20200202002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20200202002000 is an abundant number, since it is smaller than the sum of its proper divisors (28643886443672).

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

20200202002000 is a wasteful number, since it uses less digits than its factorization.

20200202002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100101024 (or 10100101008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 20200202002000 its reverse (20020200202), we get a palindrome (20220222202202).

The spelling of 20200202002000 in words is "twenty trillion, two hundred billion, two hundred two million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 10100101001 20200202002 40400404004 50500505005 80800808008 101001010010 161601616016 202002020020 252502525025 404004040040 505005050050 808008080080 1010010100100 1262512625125 2020020200200 2525025250250 4040040400400 5050050500500 10100101001000 20200202002000