Search a number
-
+
13032312021311 = 11592714793651
BaseRepresentation
bin1011110110100101001001…
…0101000010000100111111
31201010212200020021021122112
42331221102111002010333
53202010133334140221
643414543403204235
72513360561300222
oct275512225020477
951125606237575
1013032312021311
114174a77425640
1215658bab1667b
13736c3204425b
14330aa554b5b9
1517900125915b
hexbda5254213f

13032312021311 has 24 divisors (see below), whose sum is σ = 14665813976448. Its totient is φ = 11482709210000.

The previous prime is 13032312021277. The next prime is 13032312021319. The reversal of 13032312021311 is 11312021323031.

13032312021311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13032312021311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032312021319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321836 + ... + 5115486.

It is an arithmetic number, because the mean of its divisors is an integer number (611075582352).

Almost surely, 213032312021311 is an apocalyptic number.

13032312021311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13032312021311 is a deficient number, since it is larger than the sum of its proper divisors (1633501955137).

13032312021311 is an equidigital number, since it uses as much as digits as its factorization.

13032312021311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793851 (or 4793792 counting only the distinct ones).

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

Adding to 13032312021311 its reverse (11312021323031), we get a palindrome (24344333344342).

The spelling of 13032312021311 in words is "thirteen trillion, thirty-two billion, three hundred twelve million, twenty-one thousand, three hundred eleven".

Divisors: 1 11 59 71 649 781 3481 4189 38291 46079 247151 2718661 4793651 52730161 282825409 340349221 3111079499 3743841431 16686699131 20080604039 183553690441 220886644429 1184755638301 13032312021311