Search a number
-
+
13220513342344 = 23711172354889699
BaseRepresentation
bin1100000001100010010000…
…0000000110001110001000
31201210212110022020222100001
43000120210000012032020
53213101102403423334
644041230414452344
72533102434156250
oct300304400061610
951725408228301
1013220513342344
11423787413a690
1215962832040b4
1374b8c5b29289
14339c3a658960
1517dd68978714
hexc0624006388

13220513342344 has 128 divisors (see below), whose sum is σ = 34145784576000. Its totient is φ = 4637081687040.

The previous prime is 13220513342339. The next prime is 13220513342353. The reversal of 13220513342344 is 44324331502231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27203994 + ... + 27685705.

It is an arithmetic number, because the mean of its divisors is an integer number (266763942000).

Almost surely, 213220513342344 is an apocalyptic number.

13220513342344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13220513342344 is an abundant number, since it is smaller than the sum of its proper divisors (20925271233656).

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

13220513342344 is a wasteful number, since it uses less digits than its factorization.

13220513342344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54889763 (or 54889759 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 13220513342344 its reverse (44324331502231), we get a palindrome (57544844844575).

The spelling of 13220513342344 in words is "thirteen trillion, two hundred twenty billion, five hundred thirteen million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 17 22 23 28 34 44 46 56 68 77 88 92 119 136 154 161 184 187 238 253 308 322 374 391 476 506 616 644 748 782 952 1012 1288 1309 1496 1564 1771 2024 2618 2737 3128 3542 4301 5236 5474 7084 8602 10472 10948 14168 17204 21896 30107 34408 60214 120428 240856 54889699 109779398 219558796 384227893 439117592 603786689 768455786 933124883 1207573378 1262463077 1536911572 1866249766 2415146756 2524926154 3073823144 3732499532 4226506823 4830293512 5049852308 6531874181 7464999064 8453013646 8837241539 10099704616 10264373713 13063748362 13887093847 16906027292 17674483078 20528747426 21461872309 26127496724 27774187694 33812054584 35348966156 41057494852 42923744618 52254993448 55548375388 70697932312 71850615991 82114989704 85847489236 97209656929 111096750776 143701231982 150233106163 171694978472 194419313858 236080595399 287402463964 300466212326 388838627716 472161190798 574804927928 600932424652 777677255432 944322381596 1201864849304 1652564167793 1888644763192 3305128335586 6610256671172 13220513342344