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13061322 = 23219181211
BaseRepresentation
bin110001110100…
…110011001010
3220120120202200
4301310303022
511320430242
61143541030
7216006441
oct61646312
926516680
1013061322
11741118a
12445a776
1329240c1
141a3dd58
15123004c
hexc74cca

13061322 has 48 divisors (see below), whose sum is σ = 30095520. Its totient is φ = 4082400.

The previous prime is 13061317. The next prime is 13061357. The reversal of 13061322 is 22316031.

13061322 is a `hidden beast` number, since 1 + 30 + 613 + 22 = 666.

13061322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13061295 and 13061304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61797 + ... + 62007.

It is an arithmetic number, because the mean of its divisors is an integer number (626990).

Almost surely, 213061322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13061322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15047760).

13061322 is an abundant number, since it is smaller than the sum of its proper divisors (17034198).

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

13061322 is a wasteful number, since it uses less digits than its factorization.

13061322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13061322 is about 3614.0451020982. The cubic root of 13061322 is about 235.5026031870.

Adding to 13061322 its reverse (22316031), we get a palindrome (35377353).

It can be divided in two parts, 1306 and 1322, that added together give a triangular number (2628 = T72).

The spelling of 13061322 in words is "thirteen million, sixty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 181 211 342 362 422 543 633 1086 1266 1629 1899 3258 3439 3798 4009 6878 8018 10317 12027 20634 24054 30951 36081 38191 61902 72162 76382 114573 229146 343719 687438 725629 1451258 2176887 4353774 6530661 13061322