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13222131 = 313418269
BaseRepresentation
bin110010011100…
…000011110011
3220212202100120
4302130003303
511341102011
61151221323
7220246326
oct62340363
926782316
1013222131
117510a8a
124517843
13297c360
141a827bd
151262a06
hexc9c0f3

13222131 has 16 divisors (see below), whose sum is σ = 19451040. Its totient is φ = 7937280.

The previous prime is 13222129. The next prime is 13222133. The reversal of 13222131 is 13122231.

13222131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13222129) and next prime (13222133).

It is not a de Polignac number, because 13222131 - 21 = 13222129 is a prime.

It is a super-2 number, since 2×132221312 = 349649496362322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13222131.

It is not an unprimeable number, because it can be changed into a prime (13222133) 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, 2536 + ... + 5733.

It is an arithmetic number, because the mean of its divisors is an integer number (1215690).

Almost surely, 213222131 is an apocalyptic number.

13222131 is a deficient number, since it is larger than the sum of its proper divisors (6228909).

13222131 is a wasteful number, since it uses less digits than its factorization.

13222131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326.

The product of its digits is 72, while the sum is 15.

The square root of 13222131 is about 3636.2248280325. The cubic root of 13222131 is about 236.4651543522.

Adding to 13222131 its reverse (13122231), we get a palindrome (26344362).

It can be divided in two parts, 1322 and 2131, that multiplied together give a palindrome (2817182).

The spelling of 13222131 in words is "thirteen million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 13 39 41 123 533 1599 8269 24807 107497 322491 339029 1017087 4407377 13222131