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2013001221 = 37118714291
BaseRepresentation
bin111011111111011…
…1111011000000101
312012021211001112210
41313332333120011
513110312014341
6531425334033
7100612141140
oct16776773005
95167731483
102013001221
11943317680
12482197319
13261079caa
141514c1057
15bbacec16
hex77fbf605

2013001221 has 16 divisors (see below), whose sum is σ = 3346288128. Its totient is φ = 1045714800.

The previous prime is 2013001219. The next prime is 2013001253. The reversal of 2013001221 is 1221003102.

It is not a de Polignac number, because 2013001221 - 21 = 2013001219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013001197 and 2013001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013001201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4356915 + ... + 4357376.

It is an arithmetic number, because the mean of its divisors is an integer number (209143008).

Almost surely, 22013001221 is an apocalyptic number.

2013001221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2013001221 is a deficient number, since it is larger than the sum of its proper divisors (1333286907).

2013001221 is a wasteful number, since it uses less digits than its factorization.

2013001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714312.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2013001221 is about 44866.4821553908. The cubic root of 2013001221 is about 1262.6452407620.

Adding to 2013001221 its reverse (1221003102), we get a palindrome (3234004323).

The spelling of 2013001221 in words is "two billion, thirteen million, one thousand, two hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 231 8714291 26142873 61000037 95857201 183000111 287571603 671000407 2013001221