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13112244221131 = 119091131121131
BaseRepresentation
bin1011111011001110111010…
…1010001011010011001011
31201102111222211210202021201
42332303232222023103023
53204312334010034011
643515403135445031
72522220430626526
oct276635652132313
951374884722251
1013112244221131
1141a5965033410
1215792a8086777
137416300ca903
143348c92b7bbd
1517b12d7d3cc1
hexbeceea8b4cb

13112244221131 has 8 divisors (see below), whose sum is σ = 14305839985728. Its totient is φ = 11918910717000.

The previous prime is 13112244221003. The next prime is 13112244221161.

13112244221131 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 not a de Polignac number, because 13112244221131 - 27 = 13112244221003 is a prime.

It is a super-2 number, since 2×131122442211312 (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 13112244221131.

It is not an unprimeable number, because it can be changed into a prime (13112244221161) 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, 65460565 + ... + 65660566.

It is an arithmetic number, because the mean of its divisors is an integer number (1788229998216).

Almost surely, 213112244221131 is an apocalyptic number.

13112244221131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13112244221131 is a deficient number, since it is larger than the sum of its proper divisors (1193595764597).

13112244221131 is a wasteful number, since it uses less digits than its factorization.

13112244221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131130233.

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1311224 and 4221131, that added together give a palindrome (5532355).

The spelling of 13112244221131 in words is "thirteen trillion, one hundred twelve billion, two hundred forty-four million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 11 9091 100001 131121131 1442332441 1192022201921 13112244221131