Search a number
-
+
202122020000 = 255410106101
BaseRepresentation
bin1011110000111101101…
…0010100010010100000
3201022201020020110200202
42330033122110102200
511302421214120000
6232504212204332
720413525552145
oct2741732242240
9638636213622
10202122020000
11787a067a23a
123320a3096a8
13160a1b49a04
149ad5c603cc
1553ce8dadd5
hex2f0f6944a0

202122020000 has 60 divisors (see below), whose sum is σ = 497250536706. Its totient is φ = 80848800000.

The previous prime is 202122019963. The next prime is 202122020003. The reversal of 202122020000 is 20221202.

It can be written as a sum of positive squares in 5 ways, for example, as 14504830096 + 187617189904 = 120436^2 + 433148^2 .

It is not an unprimeable number, because it can be changed into a prime (202122020003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5033051 + ... + 5073050.

Almost surely, 2202122020000 is an apocalyptic number.

202122020000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122020000 is an abundant number, since it is smaller than the sum of its proper divisors (295128516706).

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

202122020000 is an equidigital number, since it uses as much as digits as its factorization.

202122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106131 (or 10106108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 202122020000 its reverse (20221202), we get a palindrome (202142241202).

The spelling of 202122020000 in words is "two hundred two billion, one hundred twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 10106101 20212202 40424404 50530505 80848808 101061010 161697616 202122020 252652525 323395232 404244040 505305050 808488080 1010610100 1263262625 1616976160 2021220200 2526525250 4042440400 5053050500 6316313125 8084880800 10106101000 12632626250 20212202000 25265252500 40424404000 50530505000 101061010000 202122020000