Search a number
-
+
202020000000 = 2835771337
BaseRepresentation
bin1011110000100101010…
…1001001000100000000
3201022110010021022120020
42330021111021010000
511302214110000000
6232450125413440
720411146444560
oct2741125110400
9638403238506
10202020000000
1178749029095
12331a010a280
1316086979950
149ac64a4da0
1553c5987ba0
hex2f09549100

202020000000 has 1152 divisors, whose sum is σ = 849535325184. Its totient is φ = 41472000000.

The previous prime is 202019999999. The next prime is 202020000011. The reversal of 202020000000 is 20202.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 127 ways as a sum of consecutive naturals, for example, 5459999982 + ... + 5460000018.

Almost surely, 2202020000000 is an apocalyptic number.

202020000000 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 202020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424767662592).

202020000000 is an abundant number, since it is smaller than the sum of its proper divisors (647515325184).

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

202020000000 is an frugal number, since it uses more digits than its factorization.

202020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

Adding to 202020000000 its reverse (20202), we get a palindrome (202020020202).

202020000000 divided by its reverse (20202) gives a 7-th power (10000000 = 107).

The spelling of 202020000000 in words is "two hundred two billion, twenty million", and thus it is an aban number.