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10002220100 = 2252100022201
BaseRepresentation
bin10010101000010110…
…11100010001000100
3221211001221102112022
421110023130101010
5130441032020400
64332302142312
7502602316355
oct112413342104
927731842468
1010002220100
114272aa1004
121b31881998
13c352b6b42
146ac57dd2c
153d819ab85
hex2542dc444

10002220100 has 18 divisors (see below), whose sum is σ = 21704817834. Its totient is φ = 4000888000.

The previous prime is 10002220061. The next prime is 10002220117. The reversal of 10002220100 is 102220001.

It can be written as a sum of positive squares in 3 ways, for example, as 3458380864 + 6543839236 = 58808^2 + 80894^2 .

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 5 ways as a sum of consecutive naturals, for example, 50011001 + ... + 50011200.

It is an arithmetic number, because the mean of its divisors is an integer number (1205823213).

Almost surely, 210002220100 is an apocalyptic number.

10002220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002220100 is an abundant number, since it is smaller than the sum of its proper divisors (11702597734).

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

10002220100 is a wasteful number, since it uses less digits than its factorization.

10002220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100022215 (or 100022208 counting only the distinct ones).

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

Adding to 10002220100 its reverse (102220001), we get a palindrome (10104440101).

Subtracting from 10002220100 its reverse (102220001), we obtain a palindrome (9900000099).

The spelling of 10002220100 in words is "ten billion, two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 100022201 200044402 400088804 500111005 1000222010 2000444020 2500555025 5001110050 10002220100