Search a number
-
+
13213311331231 = 114129290920349
BaseRepresentation
bin1100000001000111011010…
…1110100110101110011111
31201210011212101101220101201
43000101312232212232133
53212441330200044411
644034040022420331
72532426113115304
oct300216656465637
951704771356351
1013213311331231
11423480885a090
1215949b32916a7
1374b018a1383b
14339755d550ab
1517da965593c1
hexc0476ba6b9f

13213311331231 has 8 divisors (see below), whose sum is σ = 14418012546000. Its totient is φ = 12009191965440.

The previous prime is 13213311331201. The next prime is 13213311331267.

It is a happy number.

13213311331231 is nontrivially palindromic in base 10.

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-13213311331231 is a prime.

It is a super-2 number, since 2×132133113312312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13213311331231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213311331201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145414756 + ... + 145505593.

It is an arithmetic number, because the mean of its divisors is an integer number (1802251568250).

Almost surely, 213213311331231 is an apocalyptic number.

13213311331231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13213311331231 is a deficient number, since it is larger than the sum of its proper divisors (1204701214769).

13213311331231 is a wasteful number, since it uses less digits than its factorization.

13213311331231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290924489.

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 1321331 and 1331231, that added together give a palindrome (2652562).

The spelling of 13213311331231 in words is "thirteen trillion, two hundred thirteen billion, three hundred eleven million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 11 4129 45419 290920349 3200123839 1201210121021 13213311331231