Search a number
-
+
13224112120 = 2354119514133
BaseRepresentation
bin11000101000011011…
…11110111111111000
31021010121111111111101
430110031332333320
5204040333041440
610024114341144
7645464045512
oct142415767770
937117444441
1013224112120
11567673718a
12269088a7b4
13132994c01b
148d6426bb2
15525e7069a
hex31437eff8

13224112120 has 64 divisors (see below), whose sum is σ = 30502967040. Its totient is φ = 5156736000.

The previous prime is 13224112093. The next prime is 13224112123. The reversal of 13224112120 is 2121142231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13224112123) 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, 3197574 + ... + 3201706.

It is an arithmetic number, because the mean of its divisors is an integer number (476608860).

Almost surely, 213224112120 is an apocalyptic number.

13224112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13224112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251483520).

13224112120 is an abundant number, since it is smaller than the sum of its proper divisors (17278854920).

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

13224112120 is a wasteful number, since it uses less digits than its factorization.

13224112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6136 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13224112120 its reverse (2121142231), we get a palindrome (15345254351).

The spelling of 13224112120 in words is "thirteen billion, two hundred twenty-four million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1951 3902 4133 7804 8266 9755 15608 16532 19510 20665 33064 39020 41330 78040 79991 82660 159982 165320 169453 319964 338906 399955 639928 677812 799910 847265 1355624 1599820 1694530 3199640 3389060 6778120 8063483 16126966 32253932 40317415 64507864 80634830 161269660 322539320 330602803 661205606 1322411212 1653014015 2644822424 3306028030 6612056060 13224112120