Search a number
-
+
13120103011101 = 35322117439931
BaseRepresentation
bin1011111011101100001100…
…0101000101001100011101
31201110021021112111122102220
42332323003011011030131
53204424432332323401
643523143032535553
72522616245346612
oct276730305051435
951407245448386
1013120103011101
1141a9228122659
12157a91bb515b9
137422b32cb9a8
14335032d04509
1517b43d6d9336
hexbeec314531d

13120103011101 has 48 divisors (see below), whose sum is σ = 17940182088192. Its totient is φ = 8528676811200.

The previous prime is 13120103011079. The next prime is 13120103011129. The reversal of 13120103011101 is 10111030102131.

It is not a de Polignac number, because 13120103011101 - 211 = 13120103009053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120103011801) 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 47 ways as a sum of consecutive naturals, for example, 1321121106 + ... + 1321131036.

It is an arithmetic number, because the mean of its divisors is an integer number (373753793504).

Almost surely, 213120103011101 is an apocalyptic number.

It is an amenable number.

13120103011101 is a deficient number, since it is larger than the sum of its proper divisors (4820079077091).

13120103011101 is an equidigital number, since it uses as much as digits as its factorization.

13120103011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10994 (or 10941 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 13120103011101 its reverse (10111030102131), we get a palindrome (23231133113232).

It can be divided in two parts, 131201030 and 11101, that added together give a palindrome (131212131).

The spelling of 13120103011101 in words is "thirteen trillion, one hundred twenty billion, one hundred three million, eleven thousand, one hundred one".

Divisors: 1 3 53 159 211 633 743 2229 2809 8427 9931 11183 29793 33549 39379 118137 156773 470319 526343 592699 1579029 1778097 2087087 2095441 6261261 6286323 7378733 8308969 22136199 24926907 27896179 83688537 111058373 333175119 391072849 440375357 1173218547 1321126071 1556912663 4670737989 5886093769 17658281307 20726860997 62180582991 82516371139 247549113417 4373367670367 13120103011101