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13225341320 = 2352314996479
BaseRepresentation
bin11000101000100101…
…01011000110001000
31021010200210221122022
430110102223012020
5204041141410240
610024200544012
7645510355262
oct142422530610
937120727568
1013225341320
1156773a6754
122691182008
131329c8c669
148d6666b32
155261149b5
hex3144ab188

13225341320 has 64 divisors (see below), whose sum is σ = 31259520000. Its totient is φ = 5026117888.

The previous prime is 13225341317. The next prime is 13225341329. The reversal of 13225341320 is 2314352231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13225341320.

It is not an unprimeable number, because it can be changed into a prime (13225341329) 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 15 ways as a sum of consecutive naturals, for example, 88841 + ... + 185319.

It is an arithmetic number, because the mean of its divisors is an integer number (488430000).

Almost surely, 213225341320 is an apocalyptic number.

13225341320 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 13225341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629760000).

13225341320 is an abundant number, since it is smaller than the sum of its proper divisors (18034178680).

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

13225341320 is a wasteful number, since it uses less digits than its factorization.

13225341320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96662 (or 96658 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 13225341320 its reverse (2314352231), we get a palindrome (15539693551).

The spelling of 13225341320 in words is "thirteen billion, two hundred twenty-five million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 149 184 230 298 460 596 745 920 1192 1490 2980 3427 5960 6854 13708 17135 27416 34270 68540 96479 137080 192958 385916 482395 771832 964790 1929580 2219017 3859160 4438034 8876068 11095085 14375371 17752136 22190170 28750742 44380340 57501484 71876855 88760680 115002968 143753710 287507420 330633533 575014840 661267066 1322534132 1653167665 2645068264 3306335330 6612670660 13225341320