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13240213224 = 23371713073547
BaseRepresentation
bin11000101010010110…
…11001111011101000
31021011201210112001120
430111023121323220
5204103443310344
610025451415240
7646050645510
oct142513317350
937151715046
1013240213224
115684834187
122696154520
1313300988c4
148d8618840
155275a1219
hex3152d9ee8

13240213224 has 128 divisors (see below), whose sum is σ = 40096373760. Its totient is φ = 3556666368.

The previous prime is 13240213199. The next prime is 13240213229. The reversal of 13240213224 is 42231204231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13240213194 and 13240213203.

It is not an unprimeable number, because it can be changed into a prime (13240213229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3731019 + ... + 3734565.

It is an arithmetic number, because the mean of its divisors is an integer number (313252920).

Almost surely, 213240213224 is an apocalyptic number.

13240213224 is a gapful number since it is divisible by the number (14) 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 13240213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20048186880).

13240213224 is an abundant number, since it is smaller than the sum of its proper divisors (26856160536).

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

13240213224 is a wasteful number, since it uses less digits than its factorization.

13240213224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887 (or 4883 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13240213224 its reverse (42231204231), we get a palindrome (55471417455).

The spelling of 13240213224 in words is "thirteen billion, two hundred forty million, two hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1307 1428 2614 2856 3547 3921 5228 7094 7842 9149 10456 10641 14188 15684 18298 21282 22219 24829 27447 28376 31368 36596 42564 44438 49658 54894 60299 66657 73192 74487 85128 88876 99316 109788 120598 133314 148974 155533 177752 180897 198632 219576 241196 266628 297948 311066 361794 422093 466599 482392 533256 595896 622132 723588 844186 933198 1244264 1266279 1447176 1688372 1866396 2532558 3376744 3732792 4635929 5065116 9271858 10130232 13907787 18543716 27815574 32451503 37087432 55631148 64903006 78810793 97354509 111262296 129806012 157621586 194709018 236432379 259612024 315243172 389418036 472864758 551675551 630486344 778836072 945729516 1103351102 1655026653 1891459032 2206702204 3310053306 4413404408 6620106612 13240213224