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100022110021 = 1011496646429
BaseRepresentation
bin101110100100111001…
…0000100011101000101
3100120011201020122111101
41131021302010131011
53114321130010041
6113541032540101
710140432623131
oct1351162043505
9316151218441
10100022110021
1139467967749
1217475251631
1395802813b2
144babd783c1
152906155b31
hex1749c84745

100022110021 has 8 divisors (see below), whose sum is σ = 101690379000. Its totient is φ = 98367134400.

The previous prime is 100022110003. The next prime is 100022110031. The reversal of 100022110021 is 120011220001.

It can be written as a sum of positive squares in 4 ways, for example, as 36955833121 + 63066276900 = 192239^2 + 251130^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100022110021 - 27 = 100022109893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022110031) 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 7 ways as a sum of consecutive naturals, for example, 3308166 + ... + 3338263.

It is an arithmetic number, because the mean of its divisors is an integer number (12711297375).

Almost surely, 2100022110021 is an apocalyptic number.

It is an amenable number.

100022110021 is a deficient number, since it is larger than the sum of its proper divisors (1668268979).

100022110021 is a wasteful number, since it uses less digits than its factorization.

100022110021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646679.

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

Adding to 100022110021 its reverse (120011220001), we get a palindrome (220033330022).

The spelling of 100022110021 in words is "one hundred billion, twenty-two million, one hundred ten thousand, twenty-one".

Divisors: 1 101 149 15049 6646429 671289329 990317921 100022110021