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2013103023201 = 3210119571113159
BaseRepresentation
bin11101010010110110010…
…010100110010001100001
321010110011121111101200200
4131102312102212101201
5230440313333220301
64140450132135413
7265304366235624
oct35226622462141
97113147441620
102013103023201
117068301a2086
122861a0167569
13117ab109793a
146d612b95dbb
15375734cec86
hex1d4b64a6461

2013103023201 has 24 divisors (see below), whose sum is σ = 2936781731520. Its totient is φ = 1328701236000.

The previous prime is 2013103023149. The next prime is 2013103023227. The reversal of 2013103023201 is 1023203013102.

2013103023201 is a `hidden beast` number, since 2 + 0 + 1 + 310 + 30 + 2 + 320 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2013103023201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2013101023201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17733460 + ... + 17846618.

It is an arithmetic number, because the mean of its divisors is an integer number (122365905480).

Almost surely, 22013103023201 is an apocalyptic number.

It is an amenable number.

2013103023201 is a deficient number, since it is larger than the sum of its proper divisors (923678708319).

2013103023201 is a wasteful number, since it uses less digits than its factorization.

2013103023201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132837 (or 132834 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2013103023201 its reverse (1023203013102), we get a palindrome (3036306036303).

The spelling of 2013103023201 in words is "two trillion, thirteen billion, one hundred three million, twenty-three thousand, two hundred one".

Divisors: 1 3 9 101 303 909 19571 58713 113159 176139 339477 1018431 1976671 5930013 11429059 17790039 34287177 102861531 2214634789 6643904367 19931713101 223678113689 671034341067 2013103023201