Search a number
-
+
13410500103232 = 2637431131165511
BaseRepresentation
bin1100001100100110000000…
…0110000100110001000000
31202111000211210212102001121
43003021200012010301000
53224204201011300412
644304410530242024
72552606460041311
oct303114006046100
952430753772047
1013410500103232
1143003a7774061
121607065426314
137637b27a3c9b
1434510092c608
15183c87cc7107
hexc3260184c40

13410500103232 has 112 divisors (see below), whose sum is σ = 28213800734592. Its totient is φ = 6315908014080.

The previous prime is 13410500103181. The next prime is 13410500103239. The reversal of 13410500103232 is 23230100501431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13410500103197 and 13410500103206.

It is not an unprimeable number, because it can be changed into a prime (13410500103239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10923357 + ... + 12088867.

Almost surely, 213410500103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13410500103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106900367296).

13410500103232 is an abundant number, since it is smaller than the sum of its proper divisors (14803300631360).

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

13410500103232 is a wasteful number, since it uses less digits than its factorization.

13410500103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165716 (or 1165706 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 13410500103232 its reverse (23230100501431), we get a palindrome (36640600604663).

The spelling of 13410500103232 in words is "thirteen trillion, four hundred ten billion, five hundred million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 37 43 64 74 86 113 148 172 226 296 344 452 592 688 904 1184 1376 1591 1808 2368 2752 3182 3616 4181 4859 6364 7232 8362 9718 12728 16724 19436 25456 33448 38872 50912 66896 77744 101824 133792 155488 179783 267584 310976 359566 719132 1165511 1438264 2331022 2876528 4662044 5753056 9324088 11506112 18648176 37296352 43123907 50116973 74592704 86247814 100233946 131702743 172495628 200467892 263405486 344991256 400935784 526810972 689982512 801871568 1053621944 1379965024 1603743136 1854328001 2107243888 2759930048 3207486272 3708656002 4214487776 4873001491 5663217949 7417312004 8428975552 9746002982 11326435898 14834624008 19492005964 22652871796 29669248016 38984011928 45305743592 59338496032 77968023856 90611487184 118676992064 155936047712 181222974368 209539064113 311872095424 362445948736 419078128226 838156256452 1676312512904 3352625025808 6705250051616 13410500103232