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100142020100 = 22521001420201
BaseRepresentation
bin101110101000011101…
…1011111011000000100
3100120111001212201012102
41131100323133120010
53120042324120400
6114000555011232
710143420061163
oct1352073373004
9316431781172
10100142020100
1139519617991
12174a9439b18
13959c0763c5
144bbdc6d3da
15291193e9d5
hex1750edf604

100142020100 has 18 divisors (see below), whose sum is σ = 217308183834. Its totient is φ = 40056808000.

The previous prime is 100142020073. The next prime is 100142020123. The reversal of 100142020100 is 1020241001.

It can be written as a sum of positive squares in 3 ways, for example, as 23691982084 + 76450038016 = 153922^2 + 276496^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500710001 + ... + 500710200.

Almost surely, 2100142020100 is an apocalyptic number.

100142020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100142020100 is an abundant number, since it is smaller than the sum of its proper divisors (117166163734).

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

100142020100 is a wasteful number, since it uses less digits than its factorization.

100142020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001420215 (or 1001420208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100142020100 its reverse (1020241001), we get a palindrome (101162261101).

The spelling of 100142020100 in words is "one hundred billion, one hundred forty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1001420201 2002840402 4005680804 5007101005 10014202010 20028404020 25035505025 50071010050 100142020100