Search a number
-
+
13222233010221 = 3311013594099587
BaseRepresentation
bin1100000001101000101010…
…0000000111000000101101
31201211000220011010011011220
43000122022200013000231
53213113113122311341
644042113205133553
72533163155125234
oct300321240070055
951730804104156
1013222233010221
114238576916604
1215966830ba2b9
1374bb0b1a0a31
14339d60bbdb1b
1517de19914a66
hexc068a80702d

13222233010221 has 64 divisors (see below), whose sum is σ = 18476704972800. Its totient is φ = 8401017024000.

The previous prime is 13222233010201. The next prime is 13222233010243. The reversal of 13222233010221 is 12201033222231.

It is not a de Polignac number, because 13222233010221 - 230 = 13221159268397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13222233010191 and 13222233010200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222233010201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1379178790 + ... + 1379188376.

It is an arithmetic number, because the mean of its divisors is an integer number (288698515200).

Almost surely, 213222233010221 is an apocalyptic number.

It is an amenable number.

13222233010221 is a deficient number, since it is larger than the sum of its proper divisors (5254471962579).

13222233010221 is a wasteful number, since it uses less digits than its factorization.

13222233010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10490.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13222233010221 its reverse (12201033222231), we get a palindrome (25423266232452).

The spelling of 13222233010221 in words is "thirteen trillion, two hundred twenty-two billion, two hundred thirty-three million, ten thousand, two hundred twenty-one".

Divisors: 1 3 31 93 101 303 359 409 1077 1227 3131 9393 9587 11129 12679 28761 33387 36259 38037 41309 108777 123927 146831 297197 440493 891591 968287 1124029 1280579 2904861 3372087 3441733 3841737 3921083 4551761 10325199 11763249 13655283 14829931 30016897 44489793 90050691 106693723 121553573 320081169 347615033 364660719 396029383 459727861 1042845099 1188088149 1379183583 1407668797 4223006391 10776066023 12276910873 32328198069 36830732619 43637732707 130913198121 142174548497 426523645491 4407411003407 13222233010221