Search a number
-
+
182020020100 = 22521820200201
BaseRepresentation
bin1010100110000100111…
…1010001011110000100
3122101211021210001212221
42221201033101132010
510440234111120400
6215341400422124
716102424433352
oct2514117213604
9571737701787
10182020020100
1170215613186
122b33a177944
131421a2ab209
148b4a1c67d2
154b04c22c1a
hex2a613d1784

182020020100 has 18 divisors (see below), whose sum is σ = 394983443834. Its totient is φ = 72808008000.

The previous prime is 182020020043. The next prime is 182020020103. The reversal of 182020020100 is 1020020281.

It can be written as a sum of positive squares in 3 ways, for example, as 23348451204 + 158671568896 = 152802^2 + 398336^2 .

It is not an unprimeable number, because it can be changed into a prime (182020020103) 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 5 ways as a sum of consecutive naturals, for example, 910100001 + ... + 910100200.

Almost surely, 2182020020100 is an apocalyptic number.

182020020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

182020020100 is an abundant number, since it is smaller than the sum of its proper divisors (212963423734).

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

182020020100 is a wasteful number, since it uses less digits than its factorization.

182020020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820200215 (or 1820200208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 182020020100 its reverse (1020020281), we get a palindrome (183040040381).

The spelling of 182020020100 in words is "one hundred eighty-two billion, twenty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1820200201 3640400402 7280800804 9101001005 18202002010 36404004020 45505005025 91010010050 182020020100