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2126133135 = 325717397037
BaseRepresentation
bin111111010111010…
…0011011110001111
312111011200202100200
41332232203132033
513323242230020
6550550224543
7103454555610
oct17656433617
95434622320
102126133135
119a1168325
124b4055153
1327b63aa59
1416252dc07
15c69ca590
hex7eba378f

2126133135 has 48 divisors (see below), whose sum is σ = 4459530816. Its totient is φ = 914770944.

The previous prime is 2126133077. The next prime is 2126133137. The reversal of 2126133135 is 5313316212.

2126133135 is a `hidden beast` number, since 2 + 12 + 613 + 3 + 1 + 35 = 666.

It is not a de Polignac number, because 2126133135 - 217 = 2126002063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2126133099 and 2126133108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126133137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193164 + ... + 203873.

It is an arithmetic number, because the mean of its divisors is an integer number (92906892).

Almost surely, 22126133135 is an apocalyptic number.

2126133135 is an abundant number, since it is smaller than the sum of its proper divisors (2333397681).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2126133135 is a wasteful number, since it uses less digits than its factorization.

2126133135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397072 (or 397069 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 2126133135 is about 46110.0112231606. The cubic root of 2126133135 is about 1285.8692730887.

Adding to 2126133135 its reverse (5313316212), we get a palindrome (7439449347).

The spelling of 2126133135 in words is "two billion, one hundred twenty-six million, one hundred thirty-three thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 51 63 85 105 119 153 255 315 357 595 765 1071 1785 5355 397037 1191111 1985185 2779259 3573333 5955555 6749629 8337777 13896295 17866665 20248887 25013331 33748145 41688885 47247403 60746661 101244435 125066655 141742209 236237015 303733305 425226627 708711045 2126133135