Search a number
-
+
313103310322033 = 711172334771024481
BaseRepresentation
bin100011100110001000000101…
…1100101101111100101110001
31112001121101101001001020112001
41013030100023211233211301
5312014341034420301113
63025525401451334001
7122643652624502560
oct10714201345574561
91461541331036461
10313103310322033
11908454060aa250
122b149629151301
13105926916572aa
1457463d13c3bd7
15262e807b717dd
hex11cc40b96f971

313103310322033 has 32 divisors (see below), whose sum is σ = 413327246508288. Its totient is φ = 229623832780800.

The previous prime is 313103310322027. The next prime is 313103310322037. The reversal of 313103310322033 is 330223013301313.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313103310322033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313103310321992 and 313103310322010.

It is not an unprimeable number, because it can be changed into a prime (313103310322037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305109153 + ... + 306133633.

It is an arithmetic number, because the mean of its divisors is an integer number (12916476453384).

Almost surely, 2313103310322033 is an apocalyptic number.

It is an amenable number.

313103310322033 is a deficient number, since it is larger than the sum of its proper divisors (100223936186255).

313103310322033 is a wasteful number, since it uses less digits than its factorization.

313103310322033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257993.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 313103310322033 its reverse (330223013301313), we get a palindrome (643326323623346).

The spelling of 313103310322033 in words is "three hundred thirteen trillion, one hundred three billion, three hundred ten million, three hundred twenty-two thousand, thirty-three".

Divisors: 1 7 11 17 77 119 187 1309 233477 1024481 1634339 2568247 3969109 7171367 11269291 17416177 17977729 27783763 43660199 78885037 121913239 191577947 305621393 1341045629 239192750437 1674349253059 2631120254807 4066276757429 18417841783649 28463937302003 44729044331719 313103310322033