Search a number
-
+
13001100322301 = 7134115722195003
BaseRepresentation
bin1011110100110000110111…
…1101110110010111111101
31201000220010000221200201022
42331030031331312113331
53201002223140303201
643352342324153525
72511204246236210
oct275141575662775
951026100850638
1013001100322301
114162810215173
12155b84a2388a5
13733cc991c9c0
1432d384209777
151782c608341b
hexbd30df765fd

13001100322301 has 32 divisors (see below), whose sum is σ = 16496037212928. Its totient is φ = 9971770498560.

The previous prime is 13001100322201. The next prime is 13001100322303. The reversal of 13001100322301 is 10322300110031.

It is not a de Polignac number, because 13001100322301 - 230 = 13000026580477 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13001100322301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001100322303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10511735 + ... + 11683268.

It is an arithmetic number, because the mean of its divisors is an integer number (515501162904).

Almost surely, 213001100322301 is an apocalyptic number.

It is an amenable number.

13001100322301 is a deficient number, since it is larger than the sum of its proper divisors (3494936890627).

13001100322301 is a wasteful number, since it uses less digits than its factorization.

13001100322301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22195221.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13001100322301 its reverse (10322300110031), we get a palindrome (23323400432332).

The spelling of 13001100322301 in words is "thirteen trillion, one billion, one hundred million, three hundred twenty-two thousand, three hundred one".

Divisors: 1 7 13 41 91 157 287 533 1099 2041 3731 6437 14287 45059 83681 585767 22195003 155365021 288535039 909995123 2019745273 3484615471 6369965861 11829936599 24392308297 45300001123 82809556193 142869234311 317100007861 1000084640177 1857300046043 13001100322301