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100220310011 = 2989148726113
BaseRepresentation
bin101110101010110011…
…0001001000111111011
3100120200112012020202202
41131111212021013323
53120222344410021
6114012433020415
710145360402513
oct1352546110773
9316615166682
10100220310011
1139559830298
121750b6b470b
1395b23582b3
144bca40c843
152918756a0b
hex17559891fb

100220310011 has 16 divisors (see below), whose sum is σ = 104915606400. Its totient is φ = 95609192448.

The previous prime is 100220309971. The next prime is 100220310023. The reversal of 100220310011 is 110013022001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100220310011 is a prime.

It is a super-2 number, since 2×1002203100112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100220309974 and 100220310001.

It is not an unprimeable number, because it can be changed into a prime (100220310061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3824891 + ... + 3851003.

It is an arithmetic number, because the mean of its divisors is an integer number (6557225400).

Almost surely, 2100220310011 is an apocalyptic number.

100220310011 is a deficient number, since it is larger than the sum of its proper divisors (4695296389).

100220310011 is a wasteful number, since it uses less digits than its factorization.

100220310011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27718.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100220310011 its reverse (110013022001), we get a palindrome (210233332012).

The spelling of 100220310011 in words is "one hundred billion, two hundred twenty million, three hundred ten thousand, eleven".

Divisors: 1 29 89 1487 2581 26113 43123 132343 757277 2324057 3837947 38830031 67397653 1126070899 3455872759 100220310011