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100222000101 = 3211135777789
BaseRepresentation
bin101110101010110110…
…0100101101111100101
3100120200122101010010200
41131111230211233211
53120223313000401
6114012533141113
710145410642056
oct1352554455745
9316618333120
10100222000101
113955a785063
121751018a799
1395b27ca652
144bca72c72d
15291898c686
hex1755b25be5

100222000101 has 6 divisors (see below), whose sum is σ = 144765111270. Its totient is φ = 66814666728.

The previous prime is 100222000097. The next prime is 100222000117. The reversal of 100222000101 is 101000222001.

It can be written as a sum of positive squares in only one way, i.e., 55825403076 + 44396597025 = 236274^2 + 210705^2 .

It is not a de Polignac number, because 100222000101 - 22 = 100222000097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11135777789 = 100222000101 / (1 + 0 + 0 + 2 + 2 + 2 + 0 + 0 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100222000301) 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, 5567888886 + ... + 5567888903.

It is an arithmetic number, because the mean of its divisors is an integer number (24127518545).

Almost surely, 2100222000101 is an apocalyptic number.

It is an amenable number.

100222000101 is a deficient number, since it is larger than the sum of its proper divisors (44543111169).

100222000101 is a wasteful number, since it uses less digits than its factorization.

100222000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11135777795 (or 11135777792 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100222000101 its reverse (101000222001), we get a palindrome (201222222102).

The spelling of 100222000101 in words is "one hundred billion, two hundred twenty-two million, one hundred one", and thus it is an aban number.

Divisors: 1 3 9 11135777789 33407333367 100222000101