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10011222000100 = 2252100112220001
BaseRepresentation
bin1001000110101110101101…
…0101001100000111100100
31022110001201021101220221201
42101223223111030013210
52303010440313000400
633143031503252244
72052200261643616
oct221535325140744
938401637356851
1010011222000100
11320a80a910872
1211582a9baa084
13578092070a79
1426878d6aadb6
1512563523506a
hex91aeb54c1e4

10011222000100 has 18 divisors (see below), whose sum is σ = 21724351740434. Its totient is φ = 4004488800000.

The previous prime is 10011222000097. The next prime is 10011222000103. The reversal of 10011222000100 is 100022211001.

It is an interprime number because it is at equal distance from previous prime (10011222000097) and next prime (10011222000103).

It can be written as a sum of positive squares in 3 ways, for example, as 100549873216 + 9910672126884 = 317096^2 + 3148122^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10011222000103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50056109901 + ... + 50056110100.

Almost surely, 210011222000100 is an apocalyptic number.

10011222000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011222000100 is an abundant number, since it is smaller than the sum of its proper divisors (11713129740334).

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

10011222000100 is a wasteful number, since it uses less digits than its factorization.

10011222000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100112220015 (or 100112220008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10011222000100 its reverse (100022211001), we get a palindrome (10111244211101).

The spelling of 10011222000100 in words is "ten trillion, eleven billion, two hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 100112220001 200224440002 400448880004 500561100005 1001122200010 2002244400020 2502805500025 5005611000050 10011222000100