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100000011220 = 22510694677269
BaseRepresentation
bin101110100100001110…
…1110001001111010100
3100120010011122220122021
41131020131301033110
53114300000324340
6113534523142524
710140044033134
oct1351035611724
9316104586567
10100000011220
113945644357a
1217469974a44
139578814895
144ba9064ac4
15290423ce4a
hex17487713d4

100000011220 has 24 divisors (see below), whose sum is σ = 210196513800. Its totient is φ = 39962577792.

The previous prime is 100000011187. The next prime is 100000011257. The reversal of 100000011220 is 22110000001.

100000011220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38835796624 + 61164214596 = 197068^2 + 247314^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2317255 + ... + 2360014.

It is an arithmetic number, because the mean of its divisors is an integer number (8758188075).

Almost surely, 2100000011220 is an apocalyptic number.

100000011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000011220 is an abundant number, since it is smaller than the sum of its proper divisors (110196502580).

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

100000011220 is a wasteful number, since it uses less digits than its factorization.

100000011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678347 (or 4678345 counting only the distinct ones).

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

Adding to 100000011220 its reverse (22110000001), we get a palindrome (122110011221).

The spelling of 100000011220 in words is "one hundred billion, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1069 2138 4276 5345 10690 21380 4677269 9354538 18709076 23386345 46772690 93545380 5000000561 10000001122 20000002244 25000002805 50000005610 100000011220