Search a number
-
+
1313131010211 = 323726914659243
BaseRepresentation
bin10011000110111100101…
…101010001100010100011
311122112102100122212220200
4103012330231101202203
5133003243014311321
62443124414440243
7163604416265106
oct23067455214243
94575370585820
101313131010211
11466994249549
121925b0b03083
1396a9b679677
14477ad49873d
1524256b04d26
hex131bcb518a3

1313131010211 has 24 divisors (see below), whose sum is σ = 1955249964720. Its totient is φ = 848594200896.

The previous prime is 1313131010207. The next prime is 1313131010239. The reversal of 1313131010211 is 1120101313131.

1313131010211 is a `hidden beast` number, since 1 + 3 + 131 + 310 + 10 + 211 = 666.

It is not a de Polignac number, because 1313131010211 - 22 = 1313131010207 is a prime.

It is a super-2 number, since 2×13131310102112 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313131010201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7240045 + ... + 7419198.

It is an arithmetic number, because the mean of its divisors is an integer number (81468748530).

Almost surely, 21313131010211 is an apocalyptic number.

1313131010211 is a deficient number, since it is larger than the sum of its proper divisors (642118954509).

1313131010211 is a wasteful number, since it uses less digits than its factorization.

1313131010211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14659555 (or 14659552 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1313131010211 its reverse (1120101313131), we get a palindrome (2433232323342).

The spelling of 1313131010211 in words is "one trillion, three hundred thirteen billion, one hundred thirty-one million, ten thousand, two hundred eleven".

Divisors: 1 3 9 37 111 269 333 807 2421 9953 29859 89577 14659243 43977729 131933187 542391991 1627175973 3943336367 4881527919 11830009101 35490027303 145903445579 437710336737 1313131010211