Search a number
-
+
1311322301031 = 317131196276351
BaseRepresentation
bin10011000101010000111…
…001100110001001100111
311122100202022020221100210
4103011100321212021213
5132441042002113111
62442225123510503
7163511534435361
oct23052071461147
94570668227323
101311322301031
11466146286576
12192187228433
1396870a2a452
144767b195d31
152419ce2b0a6
hex13150e66267

1311322301031 has 16 divisors (see below), whose sum is σ = 1865410449408. Its totient is φ = 816509616000.

The previous prime is 1311322300987. The next prime is 1311322301053. The reversal of 1311322301031 is 1301032231131.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1311322301031 is a prime.

It is a super-2 number, since 2×13113223010312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311322300989 and 1311322301007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311322300031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98131495 + ... + 98144856.

It is an arithmetic number, because the mean of its divisors is an integer number (116588153088).

Almost surely, 21311322301031 is an apocalyptic number.

1311322301031 is a deficient number, since it is larger than the sum of its proper divisors (554088148377).

1311322301031 is a wasteful number, since it uses less digits than its factorization.

1311322301031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196276502.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1311322301031 its reverse (1301032231131), we get a palindrome (2612354532162).

The spelling of 1311322301031 in words is "one trillion, three hundred eleven billion, three hundred twenty-two million, three hundred one thousand, thirty-one".

Divisors: 1 3 17 51 131 393 2227 6681 196276351 588829053 3336697967 10010093901 25712201981 77136605943 437107433677 1311322301031