Search a number
-
+
202010210000 = 245420201021
BaseRepresentation
bin1011110000100010111…
…1110010111011010000
3201022102102211221012122
42330020233302323100
511302204103210000
6232445135513412
720411000311364
oct2741057627320
9638372757178
10202010210000
1178743551785
1233198988868
131608492c851
149ac50772a4
1553c4ba2085
hex2f08bf2ed0

202010210000 has 50 divisors (see below), whose sum is σ = 489086943642. Its totient is φ = 80804080000.

The previous prime is 202010209979. The next prime is 202010210047. The reversal of 202010210000 is 12010202.

It can be written as a sum of positive squares in 5 ways, for example, as 65837401744 + 136172808256 = 256588^2 + 369016^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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 202010210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10090511 + ... + 10110510.

Almost surely, 2202010210000 is an apocalyptic number.

202010210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202010210000 is an abundant number, since it is smaller than the sum of its proper divisors (287076733642).

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

202010210000 is an equidigital number, since it uses as much as digits as its factorization.

202010210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20201049 (or 20201028 counting only the distinct ones).

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

Adding to 202010210000 its reverse (12010202), we get a palindrome (202022220202).

The spelling of 202010210000 in words is "two hundred two billion, ten million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 20201021 40402042 80804084 101005105 161608168 202010210 323216336 404020420 505025525 808040840 1010051050 1616081680 2020102100 2525127625 4040204200 5050255250 8080408400 10100510500 12625638125 20201021000 25251276250 40402042000 50502552500 101005105000 202010210000