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13101013211 = 111391615477
BaseRepresentation
bin11000011001110000…
…11001100011011011
31020211000212102112112
430030320121203123
5203312324410321
610004000102535
7642440526536
oct141470314333
936730772475
1013101013211
1156131a9150
122657604a4b
13130a2ab730
148c3d41a1d
1551a256a5b
hex30ce198db

13101013211 has 8 divisors (see below), whose sum is σ = 15391400304. Its totient is φ = 10993857120.

The previous prime is 13101013201. The next prime is 13101013213. The reversal of 13101013211 is 11231010131.

It is a happy number.

13101013211 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 13101013211 - 210 = 13101012187 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13101013213) 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 7 ways as a sum of consecutive naturals, for example, 45807596 + ... + 45807881.

It is an arithmetic number, because the mean of its divisors is an integer number (1923925038).

Almost surely, 213101013211 is an apocalyptic number.

13101013211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13101013211 is a deficient number, since it is larger than the sum of its proper divisors (2290387093).

13101013211 is a wasteful number, since it uses less digits than its factorization.

13101013211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91615501.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 13101013211 its reverse (11231010131), we get a palindrome (24332023342).

The spelling of 13101013211 in words is "thirteen billion, one hundred one million, thirteen thousand, two hundred eleven".

Divisors: 1 11 13 143 91615477 1007770247 1191001201 13101013211