Search a number
-
+
13311220 = 2251351197
BaseRepresentation
bin110010110001…
…110011110100
3221001021120011
4302301303310
511401424340
61153150004
7221100136
oct62616364
927037504
1013311220
117571a0a
12455b304
1329b0a80
141aa7056
15127e0ea
hexcb1cf4

13311220 has 24 divisors (see below), whose sum is σ = 30104424. Its totient is φ = 4914816.

The previous prime is 13311217. The next prime is 13311223. The reversal of 13311220 is 2211331.

It is an interprime number because it is at equal distance from previous prime (13311217) and next prime (13311223).

It can be written as a sum of positive squares in 4 ways, for example, as 2735716 + 10575504 = 1654^2 + 3252^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 13311220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25339 + ... + 25858.

It is an arithmetic number, because the mean of its divisors is an integer number (1254351).

Almost surely, 213311220 is an apocalyptic number.

13311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13311220 is an abundant number, since it is smaller than the sum of its proper divisors (16793204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13311220 is a wasteful number, since it uses less digits than its factorization.

13311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51219 (or 51217 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 13311220 is about 3648.4544673053. The cubic root of 13311220 is about 236.9950564821.

Adding to 13311220 its reverse (2211331), we get a palindrome (15522551).

It can be divided in two parts, 13311 and 220, that added together give a palindrome (13531).

The spelling of 13311220 in words is "thirteen million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 51197 102394 204788 255985 511970 665561 1023940 1331122 2662244 3327805 6655610 13311220