Search a number
-
+
13104032100101 = 1710871591344563
BaseRepresentation
bin1011111010110000010100…
…1011011010111100000101
31201101201210112020210000222
42332230011023122330011
53204144024204200401
643511524221314125
72521510063016645
oct276540513327405
951351715223028
1013104032100101
1141a2430554328
121577795a05945
137409219483b7
1433434a794525
1517acec887c1b
hexbeb052daf05

13104032100101 has 16 divisors (see below), whose sum is σ = 13888806257664. Its totient is φ = 12320809772544.

The previous prime is 13104032100091. The next prime is 13104032100197. The reversal of 13104032100101 is 10100123040131.

It is not a de Polignac number, because 13104032100101 - 222 = 13104027905797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 13104032100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13104032100301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294034046 + ... + 294078608.

It is an arithmetic number, because the mean of its divisors is an integer number (868050391104).

Almost surely, 213104032100101 is an apocalyptic number.

It is an amenable number.

13104032100101 is a deficient number, since it is larger than the sum of its proper divisors (784774157563).

13104032100101 is a wasteful number, since it uses less digits than its factorization.

13104032100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61580.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 13104032100101 its reverse (10100123040131), we get a palindrome (23204155140232).

The spelling of 13104032100101 in words is "thirteen trillion, one hundred four billion, thirty-two million, one hundred thousand, one hundred one".

Divisors: 1 17 1087 15913 18479 44563 270521 757571 17297431 48439981 294056327 709131019 823479677 12055227323 770825417653 13104032100101