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2013220321 = 7331189337
BaseRepresentation
bin111011111111111…
…0100110111100001
312012022020012002121
41313333310313201
513110341022241
6531434144241
7100614043000
oct16777646741
95168205077
102013220321
11943457252
12482282081
13261125938
1415153ac37
15bbb24ad1
hex77ff4de1

2013220321 has 16 divisors (see below), whose sum is σ = 2423526400. Its totient is φ = 1669943520.

The previous prime is 2013220303. The next prime is 2013220331. The reversal of 2013220321 is 1230223102.

It is a de Polignac number, because none of the positive numbers 2k-2013220321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013220295 and 2013220304.

It is not an unprimeable number, because it can be changed into a prime (2013220331) 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, 84036 + ... + 105301.

It is an arithmetic number, because the mean of its divisors is an integer number (151470400).

Almost surely, 22013220321 is an apocalyptic number.

It is an amenable number.

2013220321 is a deficient number, since it is larger than the sum of its proper divisors (410306079).

2013220321 is an equidigital number, since it uses as much as digits as its factorization.

2013220321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189389 (or 189375 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2013220321 is about 44868.9237780449. The cubic root of 2013220321 is about 1262.6910489038.

Adding to 2013220321 its reverse (1230223102), we get a palindrome (3243443423).

The spelling of 2013220321 in words is "two billion, thirteen million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 7 31 49 217 343 1519 10633 189337 1325359 5869447 9277513 41086129 64942591 287602903 2013220321