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13101112041 = 323733259033
BaseRepresentation
bin11000011001110001…
…10001101011101001
31020211001001110002220
430030320301223221
5203312341041131
610004002144253
7642441420633
oct141470615351
936731043086
1013101112041
115613266426
122657652089
13130a314704
148c3d69a53
1551a275e96
hex30ce31ae9

13101112041 has 16 divisors (see below), whose sum is σ = 18252571776. Its totient is φ = 8342902656.

The previous prime is 13101112021. The next prime is 13101112043. The reversal of 13101112041 is 14021110131.

13101112041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13101112041 - 210 = 13101111017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13101112041.

It is not an unprimeable number, because it can be changed into a prime (13101112043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78940 + ... + 180093.

It is an arithmetic number, because the mean of its divisors is an integer number (1140785736).

Almost surely, 213101112041 is an apocalyptic number.

It is an amenable number.

13101112041 is a deficient number, since it is larger than the sum of its proper divisors (5151459735).

13101112041 is a wasteful number, since it uses less digits than its factorization.

13101112041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259792.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 13101112041 its reverse (14021110131), we get a palindrome (27122222172).

The spelling of 13101112041 in words is "thirteen billion, one hundred one million, one hundred twelve thousand, forty-one".

Divisors: 1 3 23 69 733 2199 16859 50577 259033 777099 5957759 17873277 189871189 569613567 4367037347 13101112041