Search a number
-
+
10313110311313 = 157389771685317
BaseRepresentation
bin1001011000010011010101…
…0001101101000110010001
31100111220221101112002201011
42112010311101231012101
52322432222214430223
633533435533410521
72113045326153625
oct226046521550621
940456841462634
1010313110311313
1133168469aa247
1211a68bb939a41
1359a6a316ca94
1427922b513185
1512d40359380d
hex9613546d191

10313110311313 has 8 divisors (see below), whose sum is σ = 10379071350632. Its totient is φ = 10247152720896.

The previous prime is 10313110311263. The next prime is 10313110311331. The reversal of 10313110311313 is 31311301131301.

It can be written as a sum of positive squares in 4 ways, for example, as 188349056064 + 10124761255249 = 433992^2 + 3181943^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10313110311313 - 29 = 10313110310801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10313110371313) 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 7 ways as a sum of consecutive naturals, for example, 5276731 + ... + 6962047.

It is an arithmetic number, because the mean of its divisors is an integer number (1297383918829).

Almost surely, 210313110311313 is an apocalyptic number.

It is an amenable number.

10313110311313 is a deficient number, since it is larger than the sum of its proper divisors (65961039319).

10313110311313 is a wasteful number, since it uses less digits than its factorization.

10313110311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724451.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 10313110311313 its reverse (31311301131301), we get a palindrome (41624411442614).

The spelling of 10313110311313 in words is "ten trillion, three hundred thirteen billion, one hundred ten million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 157 38977 1685317 6119389 264594769 65688600709 10313110311313