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1282020100 = 225212820201
BaseRepresentation
bin100110001101010…
…0001001100000100
310022100100100221221
41030122201030010
510111144120400
6331114050124
743524663634
oct11432411404
93270310857
101282020100
115a8737749
122b9419944
131757b119a
14c23a06c4
157783cc1a
hex4c6a1304

1282020100 has 18 divisors (see below), whose sum is σ = 2781983834. Its totient is φ = 512808000.

The previous prime is 1282020073. The next prime is 1282020121. The reversal of 1282020100 is 10202821.

It can be written as a sum of positive squares in 3 ways, for example, as 65545216 + 1216474884 = 8096^2 + 34878^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6410001 + ... + 6410200.

Almost surely, 21282020100 is an apocalyptic number.

1282020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1282020100 is an abundant number, since it is smaller than the sum of its proper divisors (1499963734).

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

1282020100 is a wasteful number, since it uses less digits than its factorization.

1282020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12820215 (or 12820208 counting only the distinct ones).

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

The square root of 1282020100 is about 35805.3082656748. The cubic root of 1282020100 is about 1086.3379334001.

Adding to 1282020100 its reverse (10202821), we get a palindrome (1292222921).

The spelling of 1282020100 in words is "one billion, two hundred eighty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12820201 25640402 51280804 64101005 128202010 256404020 320505025 641010050 1282020100