Search a number
-
+
1311120211131 = 32208769803557
BaseRepresentation
bin10011000101000100110…
…110101011110010111011
311122100020012222201010200
4103011010312223302323
5132440133233224011
62442153104213243
7163503531625113
oct23050466536273
94570205881120
101311120211131
114660521a6425
1219212b60a223
139683abc0b23
144765c3cc043
152418a30c856
hex13144dabcbb

1311120211131 has 12 divisors (see below), whose sum is σ = 1894747778352. Its totient is φ = 873661306896.

The previous prime is 1311120211111. The next prime is 1311120211153.

1311120211131 is a `hidden beast` number, since 1 + 311 + 12 + 0 + 211 + 131 = 666.

1311120211131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1311120211131 - 25 = 1311120211099 is a prime.

It is a super-2 number, since 2×13111202111312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311120211111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34882996 + ... + 34920561.

It is an arithmetic number, because the mean of its divisors is an integer number (157895648196).

Almost surely, 21311120211131 is an apocalyptic number.

1311120211131 is a deficient number, since it is larger than the sum of its proper divisors (583627567221).

1311120211131 is a wasteful number, since it uses less digits than its factorization.

1311120211131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69805650 (or 69805647 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 1311120 and 211131, that added together give a palindrome (1522251).

The spelling of 1311120211131 in words is "one trillion, three hundred eleven billion, one hundred twenty million, two hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 9 2087 6261 18783 69803557 209410671 628232013 145680023459 437040070377 1311120211131