Search a number
-
+
2201314131022 = 26144961964921
BaseRepresentation
bin100000000010001000100…
…010111111110001001110
321210102222100220022022211
4200002020202333301032
5242031242404143042
64403134133301034
7315016421245606
oct40021042776116
97712870808284
102201314131022
11779632491086
122b676779477a
1312c776bc8466
14787892cdc06
153c3db9d4017
hex200888bfc4e

2201314131022 has 32 divisors (see below), whose sum is σ = 3369062268000. Its totient is φ = 1078440652800.

The previous prime is 2201314131017. The next prime is 2201314131043.

2201314131022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2201314130984 and 2201314131002.

It is a congruent number.

It is an unprimeable number.

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, 33875122 + ... + 33940042.

It is an arithmetic number, because the mean of its divisors is an integer number (105283195875).

Almost surely, 22201314131022 is an apocalyptic number.

2201314131022 is a deficient number, since it is larger than the sum of its proper divisors (1167748136978).

2201314131022 is a wasteful number, since it uses less digits than its factorization.

2201314131022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66052.

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 2201314131022 in words is "two trillion, two hundred one billion, three hundred fourteen million, one hundred thirty-one thousand, twenty-two".

Divisors: 1 2 61 122 449 619 898 1238 27389 37759 54778 64921 75518 129842 277931 555862 3960181 7920362 16953791 29149529 33907582 40186099 58299058 80372198 1778121269 2451352039 3556242538 4902704078 18043558451 36087116902 1100657065511 2201314131022