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2013320330301 = 37156131614051
BaseRepresentation
bin11101010011000011001…
…111100011110000111101
321010110201202101201222210
4131103003033203300331
5230441240001032201
64140523453531033
7265312645305210
oct35230317436075
97113652351883
102013320330301
11706931926125
12286240aa3a79
13117b17101717
146d6339a1777
15375876071d6
hex1d4c33e3c3d

2013320330301 has 16 divisors (see below), whose sum is σ = 3067941339648. Its totient is φ = 1150459518000.

The previous prime is 2013320330299. The next prime is 2013320330363. The reversal of 2013320330301 is 1030330233102.

It is not a de Polignac number, because 2013320330301 - 21 = 2013320330299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013320330401) 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, 2971726 + ... + 3585776.

It is an arithmetic number, because the mean of its divisors is an integer number (191746333728).

Almost surely, 22013320330301 is an apocalyptic number.

2013320330301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2013320330301 is a deficient number, since it is larger than the sum of its proper divisors (1054621009347).

2013320330301 is a wasteful number, since it uses less digits than its factorization.

2013320330301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770192.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2013320330301 its reverse (1030330233102), we get a palindrome (3043650563403).

The spelling of 2013320330301 in words is "two trillion, thirteen billion, three hundred twenty million, three hundred thirty thousand, three hundred one".

Divisors: 1 3 7 21 156131 468393 614051 1092917 1842153 3278751 4298357 12895071 95872396681 287617190043 671106776767 2013320330301