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12211221342133 = 1110319927540863
BaseRepresentation
bin1011000110110010010110…
…0000101010011110110101
31121020101022000022000212001
42301230211200222132311
53100032040130422013
641545431352255301
72400142306545502
oct261544540523665
947211260260761
1012211221342133
113988828113480
1214527493a1531
136a7689753978
1430305210a4a9
151629965a6ddd
hexb1b2582a7b5

12211221342133 has 16 divisors (see below), whose sum is σ = 13451365564416. Its totient is φ = 10992760536240.

The previous prime is 12211221342053. The next prime is 12211221342181. The reversal of 12211221342133 is 33124312211221.

It is a happy number.

12211221342133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12211221342133 - 217 = 12211221211061 is a prime.

It is a super-2 number, since 2×122112213421332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211221342233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22306860 + ... + 22847722.

It is an arithmetic number, because the mean of its divisors is an integer number (840710347776).

Almost surely, 212211221342133 is an apocalyptic number.

It is an amenable number.

12211221342133 is a deficient number, since it is larger than the sum of its proper divisors (1240144222283).

12211221342133 is a wasteful number, since it uses less digits than its factorization.

12211221342133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560904.

The product of its digits is 3456, while the sum is 28.

Adding to 12211221342133 its reverse (33124312211221), we get a palindrome (45335533553354).

The spelling of 12211221342133 in words is "twelve trillion, two hundred eleven billion, two hundred twenty-one million, three hundred forty-two thousand, one hundred thirty-three".

Divisors: 1 11 103 1133 19927 219197 540863 2052481 5949493 22577291 55708889 612797779 10777777001 118555547011 1110111031103 12211221342133