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13324223412 = 22336119110589
BaseRepresentation
bin11000110100010111…
…11000001110110100
31021101120212200101000
430122023320032310
5204242000122122
610042052203300
7651121013253
oct143213701664
937346780330
1013324223412
1157181a4295
1226ba309530
131344601386
1490584679a
1552eb480ac
hex31a2f83b4

13324223412 has 96 divisors (see below), whose sum is σ = 35297740800. Its totient is φ = 4345315200.

The previous prime is 13324223389. The next prime is 13324223431. The reversal of 13324223412 is 21432242331.

13324223412 is a `hidden beast` number, since 1 + 3 + 3 + 24 + 223 + 412 = 666.

13324223412 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 (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1253014 + ... + 1263602.

It is an arithmetic number, because the mean of its divisors is an integer number (367684800).

Almost surely, 213324223412 is an apocalyptic number.

13324223412 is a gapful number since it is divisible by the number (12) 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 13324223412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17648870400).

13324223412 is an abundant number, since it is smaller than the sum of its proper divisors (21973517388).

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

13324223412 is a wasteful number, since it uses less digits than its factorization.

13324223412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10854 (or 10846 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 13324223412 its reverse (21432242331), we get a palindrome (34756465743).

The spelling of 13324223412 in words is "thirteen billion, three hundred twenty-four million, two hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 108 122 183 191 244 366 382 549 573 732 764 1098 1146 1647 1719 2196 2292 3294 3438 5157 6588 6876 10314 10589 11651 20628 21178 23302 31767 34953 42356 46604 63534 69906 95301 104859 127068 139812 190602 209718 285903 314577 381204 419436 571806 629154 645929 1143612 1258308 1291858 1937787 2022499 2583716 3875574 4044998 5813361 6067497 7751148 8089996 11626722 12134994 17440083 18202491 23253444 24269988 34880166 36404982 54607473 69760332 72809964 109214946 123372439 218429892 246744878 370117317 493489756 740234634 1110351951 1480469268 2220703902 3331055853 4441407804 6662111706 13324223412