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13101041343041 = 1927131141122273
BaseRepresentation
bin1011111010100101001011…
…1010100101101001000001
31201101110002002121120121222
42332221102322211221001
53204121413040434131
643510311343124425
72521343006011421
oct276512272455101
951343062546558
1013101041343041
1141a1136327283
1215770a02a3715
1374056614bc72
143341454b6481
1517abc501c87b
hexbea52ea5a41

13101041343041 has 16 divisors (see below), whose sum is σ = 13797481400640. Its totient is φ = 12405293752320.

The previous prime is 13101041343023. The next prime is 13101041343101. The reversal of 13101041343041 is 14034314010131.

13101041343041 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 13101041343041 - 214 = 13101041326657 is a prime.

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 13101041343041.

It is not an unprimeable number, because it can be changed into a prime (13101041333041) 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, 588191681 + ... + 588213953.

It is an arithmetic number, because the mean of its divisors is an integer number (862342587540).

Almost surely, 213101041343041 is an apocalyptic number.

It is an amenable number.

13101041343041 is a deficient number, since it is larger than the sum of its proper divisors (696440057599).

13101041343041 is a wasteful number, since it uses less digits than its factorization.

13101041343041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36416.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13101041343041 its reverse (14034314010131), we get a palindrome (27135355353172).

The spelling of 13101041343041 in words is "thirteen trillion, one hundred one billion, forty-one million, three hundred forty-three thousand, forty-one".

Divisors: 1 19 2713 11411 22273 51547 216809 423187 30958043 60426649 254157203 588202817 1148106331 4828986857 689528491739 13101041343041