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2131113133 = 15725752817
BaseRepresentation
bin111111100000110…
…0011010010101101
312111112001202122001
41333001203102231
513331031110013
6551245052301
7103545106552
oct17701432255
95445052561
102131113133
119a3a59926
124b5857091
1327c6926b6
14163068a29
15c7160ddd
hex7f0634ad

2131113133 has 8 divisors (see below), whose sum is σ = 2153072952. Its totient is φ = 2109259776.

The previous prime is 2131113121. The next prime is 2131113221. The reversal of 2131113133 is 3313111312.

It can be written as a sum of positive squares in 4 ways, for example, as 113486409 + 2017626724 = 10653^2 + 44918^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2131113133 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 2131113133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131110133) 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 7 ways as a sum of consecutive naturals, for example, 13941 + ... + 66757.

It is an arithmetic number, because the mean of its divisors is an integer number (269134119).

Almost surely, 22131113133 is an apocalyptic number.

It is an amenable number.

2131113133 is a deficient number, since it is larger than the sum of its proper divisors (21959819).

2131113133 is a wasteful number, since it uses less digits than its factorization.

2131113133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53231.

The product of its digits is 162, while the sum is 19.

The square root of 2131113133 is about 46163.9809050303. The cubic root of 2131113133 is about 1286.8724453273.

Adding to 2131113133 its reverse (3313111312), we get a palindrome (5444224445).

The spelling of 2131113133 in words is "two billion, one hundred thirty-one million, one hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 157 257 40349 52817 8292269 13573969 2131113133