Search a number
-
+
103310332221313 = 715439799558821
BaseRepresentation
bin10111011111010111001111…
…101001110101011110000001
3111112210101000200102001120101
4113133113033221311132001
5102020114030022040223
61003420040022442401
730521632224563140
oct2737271751653601
9445711020361511
10103310332221313
112aa10736275a28
12b706299293401
134585179261a69
141b7236516d757
15be25138064ad
hex5df5cfa75781

103310332221313 has 8 divisors (see below), whose sum is σ = 118069039932480. Its totient is φ = 88551646715760.

The previous prime is 103310332221289. The next prime is 103310332221323. The reversal of 103310332221313 is 313122233013301.

It is a happy number.

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-103310332221313 is a prime.

It is a super-3 number, since 3×1033103322213133 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103310332221323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6028443 + ... + 15587263.

It is an arithmetic number, because the mean of its divisors is an integer number (14758629991560).

Almost surely, 2103310332221313 is an apocalyptic number.

It is an amenable number.

103310332221313 is a deficient number, since it is larger than the sum of its proper divisors (14758707711167).

103310332221313 is an equidigital number, since it uses as much as digits as its factorization.

103310332221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11102807.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 103310332221313 its reverse (313122233013301), we get a palindrome (416432565234614).

The spelling of 103310332221313 in words is "one hundred three trillion, three hundred ten billion, three hundred thirty-two million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 7 1543979 9558821 10807853 66911747 14758618888759 103310332221313