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100222011009 = 3211135779001
BaseRepresentation
bin101110101010110110…
…0101000011010000001
3100120200122101200002200
41131111230220122001
53120223313323014
6114012533303413
710145411015631
oct1352554503201
9316618350080
10100222011009
113955a79227a
1217510194b69
1395b28025c3
144bca7326c1
152918990a09
hex1755b28681

100222011009 has 6 divisors (see below), whose sum is σ = 144765127026. Its totient is φ = 66814674000.

The previous prime is 100222010957. The next prime is 100222011023. The reversal of 100222011009 is 900110222001.

It can be written as a sum of positive squares in only one way, i.e., 64841529600 + 35380481409 = 254640^2 + 188097^2 .

It is not a de Polignac number, because 100222011009 - 217 = 100221879937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100222010982 and 100222011000.

It is not an unprimeable number, because it can be changed into a prime (100222013009) 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 5 ways as a sum of consecutive naturals, for example, 5567889492 + ... + 5567889509.

It is an arithmetic number, because the mean of its divisors is an integer number (24127521171).

Almost surely, 2100222011009 is an apocalyptic number.

It is an amenable number.

100222011009 is a deficient number, since it is larger than the sum of its proper divisors (44543116017).

100222011009 is a wasteful number, since it uses less digits than its factorization.

100222011009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135779007 (or 11135779004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 100222011009 in words is "one hundred billion, two hundred twenty-two million, eleven thousand, nine".

Divisors: 1 3 9 11135779001 33407337003 100222011009