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2013102103341 = 37414635049887
BaseRepresentation
bin11101010010110110001…
…111000101101100101101
321010110011112202122212210
4131102312033011230231
5230440313114301331
64140450100321033
7265304355355050
oct35226617055455
97113145678783
102013102103341
1170682a723a6a
1228619b9a3179
13117ab0b35044
146d6129d6a97
153757339c446
hex1d4b63c5b2d

2013102103341 has 32 divisors (see below), whose sum is σ = 3149190955008. Its totient is φ = 1119862719360.

The previous prime is 2013102103319. The next prime is 2013102103349. The reversal of 2013102103341 is 1433012013102.

It is not a de Polignac number, because 2013102103341 - 29 = 2013102102829 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 (2013102103349) 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 31 ways as a sum of consecutive naturals, for example, 2126301 + ... + 2923586.

It is an arithmetic number, because the mean of its divisors is an integer number (98412217344).

Almost surely, 22013102103341 is an apocalyptic number.

2013102103341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2013102103341 is a deficient number, since it is larger than the sum of its proper divisors (1136088851667).

2013102103341 is a wasteful number, since it uses less digits than its factorization.

2013102103341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050401.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2013102103341 its reverse (1433012013102), we get a palindrome (3446114116443).

The spelling of 2013102103341 in words is "two trillion, thirteen billion, one hundred two million, one hundred three thousand, three hundred forty-one".

Divisors: 1 3 7 21 41 123 287 463 861 1389 3241 9723 18983 56949 132881 398643 5049887 15149661 35349209 106047627 207045367 621136101 1449317569 2338097681 4347952707 7014293043 16366683767 49100051301 95862004921 287586014763 671034034447 2013102103341