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2126263321 = 721317414789
BaseRepresentation
bin111111010111100…
…0011010000011001
312111011221100221101
41332233003100121
513323310411241
6550553111401
7103455640300
oct17657032031
95434840841
102126263321
119a1247116
124b40b8561
1327b6850a0
14162565437
15c6a03e31
hex7ebc3419

2126263321 has 48 divisors (see below), whose sum is σ = 2889749520. Its totient is φ = 1544417280.

The previous prime is 2126263283. The next prime is 2126263331. The reversal of 2126263321 is 1233626212.

It can be written as a sum of positive squares in 8 ways, for example, as 656384400 + 1469878921 = 25620^2 + 38339^2 .

It is not a de Polignac number, because 2126263321 - 27 = 2126263193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2126263321.

It is not an unprimeable number, because it can be changed into a prime (2126263331) 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 47 ways as a sum of consecutive naturals, for example, 441595 + ... + 446383.

It is an arithmetic number, because the mean of its divisors is an integer number (60203115).

Almost surely, 22126263321 is an apocalyptic number.

It is an amenable number.

2126263321 is a deficient number, since it is larger than the sum of its proper divisors (763486199).

2126263321 is a wasteful number, since it uses less digits than its factorization.

2126263321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4867 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 2126263321 is about 46111.4228906461. The cubic root of 2126263321 is about 1285.8955177231.

Adding to 2126263321 its reverse (1233626212), we get a palindrome (3359889533).

The spelling of 2126263321 in words is "two billion, one hundred twenty-six million, two hundred sixty-three thousand, three hundred twenty-one".

Divisors: 1 7 13 17 41 49 91 119 221 287 533 637 697 833 1547 2009 3731 4789 4879 9061 10829 26117 33523 34153 62257 63427 81413 196349 234661 435799 443989 569891 1058369 1374443 2552537 3050593 3337933 3989237 7408583 9621101 17867759 23365531 43393129 51860081 125074313 163558717 303751903 2126263321