Search a number
-
+
11310022231313 = 1329471401145557
BaseRepresentation
bin1010010010010101000111…
…0110111000010100010001
31111001020010220011210210212
42210211101312320110101
52440300411142400223
640015430311533505
72245056615522161
oct244452166702421
944036126153725
1011310022231313
11367060a774a03
121327b5b68a295
136406b8725040
142b159d7865a1
151492edb68278
hexa4951db8511

11310022231313 has 32 divisors (see below), whose sum is σ = 12869311311360. Its totient is φ = 9864630639360.

The previous prime is 11310022231289. The next prime is 11310022231331. The reversal of 11310022231313 is 31313222001311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11310022231313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11310022251313) 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 31 ways as a sum of consecutive naturals, for example, 248238131 + ... + 248283687.

It is an arithmetic number, because the mean of its divisors is an integer number (402165978480).

Almost surely, 211310022231313 is an apocalyptic number.

11310022231313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11310022231313 is a deficient number, since it is larger than the sum of its proper divisors (1559289080047).

11310022231313 is a wasteful number, since it uses less digits than its factorization.

11310022231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59657.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 11310022231313 its reverse (31313222001311), we get a palindrome (42623244232624).

The spelling of 11310022231313 in words is "eleven trillion, three hundred ten billion, twenty-two million, two hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 13 29 47 377 611 1363 14011 17719 45557 182143 406319 592241 658517 1321153 2141179 5282147 8560721 17174989 19096993 27835327 62094191 248260909 638299127 807224483 8297888651 18510674683 30000058969 240638770879 390000766597 870001710101 11310022231313