Search a number
-
+
13221111310 = 25111722914341
BaseRepresentation
bin11000101000000101…
…00010011000001110
31021010101212001011021
430110002202120032
5204034101030220
610023530144354
7645426410011
oct142402423016
937111761137
1013221111310
115674a77680
12268b8820ba
13132913b1b4
148d5c85378
15525a7b4aa
hex3140a260e

13221111310 has 96 divisors (see below), whose sum is σ = 28531401120. Its totient is φ = 4368537600.

The previous prime is 13221111271. The next prime is 13221111313. The reversal of 13221111310 is 1311112231.

It is a happy number.

It is a super-2 number, since 2×132211113102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221111313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914740 + ... + 929080.

It is an arithmetic number, because the mean of its divisors is an integer number (297202095).

Almost surely, 213221111310 is an apocalyptic number.

13221111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13221111310 is an abundant number, since it is smaller than the sum of its proper divisors (15310289810).

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

13221111310 is a wasteful number, since it uses less digits than its factorization.

13221111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14422 (or 14405 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 13221111310 its reverse (1311112231), we get a palindrome (14532223541).

The spelling of 13221111310 in words is "thirteen billion, two hundred twenty-one million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 5 10 11 17 22 29 34 55 58 85 110 145 170 187 289 290 319 374 493 578 638 935 986 1445 1595 1870 2465 2890 3179 3190 4930 5423 6358 8381 10846 14341 15895 16762 27115 28682 31790 41905 54230 71705 83810 92191 143410 157751 184382 243797 315502 415889 460955 487594 788755 831778 921910 1218985 1577510 2079445 2437970 2681767 4144549 4158890 4574779 5363534 7070113 8289098 9149558 13408835 14140226 20722745 22873895 26817670 35350565 41445490 45590039 45747790 70701130 77771243 91180078 120191921 155542486 227950195 240383842 388856215 455900390 600959605 777712430 1201919210 1322111131 2644222262 6610555655 13221111310