Search a number
-
+
2126882317 = 7312421751
BaseRepresentation
bin111111011000101…
…1010011000001101
312111020002211001011
41332301122120031
513323440213232
6551014245221
7103464126040
oct17661323015
95436084034
102126882317
119a162a18a
124b4356811
1327b840a61
14162686c57
15c6ac7547
hex7ec5a60d

2126882317 has 24 divisors (see below), whose sum is σ = 2520980736. Its totient is φ = 1757700000.

The previous prime is 2126882293. The next prime is 2126882323. The reversal of 2126882317 is 7132886212.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-2126882317 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2126882317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126882357) 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 23 ways as a sum of consecutive naturals, for example, 2831692 + ... + 2832442.

It is an arithmetic number, because the mean of its divisors is an integer number (105040864).

Almost surely, 22126882317 is an apocalyptic number.

It is an amenable number.

2126882317 is a deficient number, since it is larger than the sum of its proper divisors (394098419).

2126882317 is an equidigital number, since it uses as much as digits as its factorization.

2126882317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1210 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 2126882317 is about 46118.1343616586. The cubic root of 2126882317 is about 1286.0202885588.

The spelling of 2126882317 in words is "two billion, one hundred twenty-six million, eight hundred eighty-two thousand, three hundred seventeen".

Divisors: 1 7 31 217 421 751 961 2947 5257 6727 13051 23281 91357 162967 316171 404581 721711 2213197 2832067 5051977 9801301 68609107 303840331 2126882317