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100002022211 = 7135918625819
BaseRepresentation
bin101110100100010010…
…1011100001101000011
3100120010022110002012102
41131020211130031003
53114301004202321
6113535034221015
710140100110110
oct1351045341503
9316108402172
10100002022211
1139457597453
121746a58476b
13957906a010
144ba9429907
1529044d8c0b
hex174895c343

100002022211 has 16 divisors (see below), whose sum is σ = 125165510400. Its totient is φ = 77781415968.

The previous prime is 100002022201. The next prime is 100002022243. The reversal of 100002022211 is 112220200001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100002022211 - 226 = 99934913347 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100002022192 and 100002022201.

It is not an unprimeable number, because it can be changed into a prime (100002022201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9307541 + ... + 9318278.

It is an arithmetic number, because the mean of its divisors is an integer number (7822844400).

Almost surely, 2100002022211 is an apocalyptic number.

100002022211 is a deficient number, since it is larger than the sum of its proper divisors (25163488189).

100002022211 is a wasteful number, since it uses less digits than its factorization.

100002022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18625898.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100002022211 its reverse (112220200001), we get a palindrome (212222222212).

The spelling of 100002022211 in words is "one hundred billion, two million, twenty-two thousand, two hundred eleven".

Divisors: 1 7 13 59 91 413 767 5369 18625819 130380733 242135647 1098923321 1694949529 7692463247 14286003173 100002022211