Search a number
-
+
13100030110013 = 711217107904097
BaseRepresentation
bin1011111010100001011010…
…1001000010100100111101
31201101100110121210121200212
42332220112221002210331
53204112330202010023
643510023141002205
72521305646454240
oct276502651024475
951340417717625
1013100030110013
1141a0767530a00
121576a596b3365
137404347aac22
1433408b083257
1517ab6636ce78
hexbea16a4293d

13100030110013 has 24 divisors (see below), whose sum is σ = 16457216333376. Its totient is φ = 10207207676160.

The previous prime is 13100030109961. The next prime is 13100030110019. The reversal of 13100030110013 is 31001103000131.

It is a happy number.

13100030110013 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 13100030110013 - 28 = 13100030109757 is a prime.

It is a super-2 number, since 2×131000301100132 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13100030110013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100030110019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14037581 + ... + 14941677.

It is an arithmetic number, because the mean of its divisors is an integer number (685717347224).

Almost surely, 213100030110013 is an apocalyptic number.

It is an amenable number.

13100030110013 is a deficient number, since it is larger than the sum of its proper divisors (3357186223363).

13100030110013 is a wasteful number, since it uses less digits than its factorization.

13100030110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921233 (or 921222 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13100030110013 its reverse (31001103000131), we get a palindrome (44101133110144).

The spelling of 13100030110013 in words is "thirteen trillion, one hundred billion, thirty million, one hundred ten thousand, thirteen".

Divisors: 1 7 11 77 121 847 17107 119749 188177 904097 1317239 2069947 6328679 9945067 14489629 69615469 109395737 765770159 15466387379 108264711653 170130261169 1190911828183 1871432872859 13100030110013