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2202212112113 = 131731914151157
BaseRepresentation
bin100000000010111110000…
…100100001011011110001
321210112021221121110210202
4200002332010201123301
5242040112300041423
64403403212204545
7315050604045356
oct40027604413361
97715257543722
102202212112113
11779a53364612
122b6978469755
1312c88ac65c10
147883268262d
153c440762728
hex200be1216f1

2202212112113 has 16 divisors (see below), whose sum is σ = 2385493038096. Its totient is φ = 2020915733760.

The previous prime is 2202212112073. The next prime is 2202212112187. The reversal of 2202212112113 is 3112112122022.

It can be written as a sum of positive squares in 8 ways, for example, as 367100268544 + 1835111843569 = 605888^2 + 1354663^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202212112113 - 26 = 2202212112049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2202212112313) 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, 43022531 + ... + 43073687.

It is an arithmetic number, because the mean of its divisors is an integer number (149093314881).

Almost surely, 22202212112113 is an apocalyptic number.

It is an amenable number.

2202212112113 is a deficient number, since it is larger than the sum of its proper divisors (183280925983).

2202212112113 is a wasteful number, since it uses less digits than its factorization.

2202212112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70484.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 2202212112113 its reverse (3112112122022), we get a palindrome (5314324234135).

Subtracting 2202212112113 from its reverse (3112112122022), we obtain a palindrome (909900009909).

The spelling of 2202212112113 in words is "two trillion, two hundred two billion, two hundred twelve million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 13 173 2249 19141 51157 248833 665041 3311393 8850161 43048109 115052093 979196137 12729549781 169400931701 2202212112113