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22011000100 = 2252220110001
BaseRepresentation
bin10100011111111101…
…010011010100100100
32002210222120122202221
4110133331103110210
5330034304000400
614040044042124
71406311261645
oct243775232444
962728518687
1022011000100
1193756aa181
124323533344
1320ca203b1b
1410cb4056cc
1588c5a2c1a
hex51ff53524

22011000100 has 18 divisors (see below), whose sum is σ = 47763870434. Its totient is φ = 8804400000.

The previous prime is 22011000083. The next prime is 22011000107. The reversal of 22011000100 is 100011022.

It can be written as a sum of positive squares in 3 ways, for example, as 6503777316 + 15507222784 = 80646^2 + 124528^2 .

It is not an unprimeable number, because it can be changed into a prime (22011000107) by changing a digit.

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, 110054901 + ... + 110055100.

Almost surely, 222011000100 is an apocalyptic number.

22011000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011000100 is an abundant number, since it is smaller than the sum of its proper divisors (25752870334).

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

22011000100 is a wasteful number, since it uses less digits than its factorization.

22011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220110015 (or 220110008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 22011000100 its reverse (100011022), we get a palindrome (22111011122).

The spelling of 22011000100 in words is "twenty-two billion, eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 220110001 440220002 880440004 1100550005 2201100010 4402200020 5502750025 11005500050 22011000100