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12344533544321 = 111318566643681
BaseRepresentation
bin1011001110100010111110…
…0010010110110110000001
31121201010101202201120200222
42303220233202112312001
53104223101041404241
642131000031352425
72412602022556136
oct263505742266601
947633352646628
1012344533544321
113a2a318401090
121474553382715
136b71138c0844
1430969b44a58d
1516619a0cda4b
hexb3a2f896d81

12344533544321 has 8 divisors (see below), whose sum is σ = 13569563592288. Its totient is φ = 11136636784000.

The previous prime is 12344533544309. The next prime is 12344533544341.

12344533544321 is nontrivially palindromic in base 10.

12344533544321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 12344533544321 - 210 = 12344533543297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12344533544341) 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, 4283320400 + ... + 4283323281.

It is an arithmetic number, because the mean of its divisors is an integer number (1696195449036).

Almost surely, 212344533544321 is an apocalyptic number.

12344533544321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12344533544321 is a deficient number, since it is larger than the sum of its proper divisors (1225030047967).

12344533544321 is a wasteful number, since it uses less digits than its factorization.

12344533544321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8566643823.

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 1234453 and 3544321, that added together give a palindrome (4778774).

The spelling of 12344533544321 in words is "twelve trillion, three hundred forty-four billion, five hundred thirty-three million, five hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 11 131 1441 8566643681 94233080491 1122230322211 12344533544321