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13331322 = 232372541
BaseRepresentation
bin110010110110…
…101101111010
3221002022010200
4302312231322
511403100242
61153423030
7221212554
oct62665572
927068120
1013331322
117586024
12456aa76
1329b9c74
141ab04d4
15128504c
hexcb6b7a

13331322 has 36 divisors (see below), whose sum is σ = 29741166. Its totient is φ = 4315680.

The previous prime is 13331309. The next prime is 13331411. The reversal of 13331322 is 22313331.

13331322 is a `hidden beast` number, since 13 + 331 + 322 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13329801 + 1521 = 3651^2 + 39^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13331295 and 13331304.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24372 + ... + 24912.

Almost surely, 213331322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870583).

13331322 is an abundant number, since it is smaller than the sum of its proper divisors (16409844).

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

13331322 is a wasteful number, since it uses less digits than its factorization.

13331322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 583 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 13331322 is about 3651.2082931545. The cubic root of 13331322 is about 237.1142962030.

Adding to 13331322 its reverse (22313331), we get a palindrome (35644653).

Subtracting 13331322 from its reverse (22313331), we obtain a square (8982009 = 29972).

The spelling of 13331322 in words is "thirteen million, three hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 541 666 1082 1369 1623 2738 3246 4107 4869 8214 9738 12321 20017 24642 40034 60051 120102 180153 360306 740629 1481258 2221887 4443774 6665661 13331322