Search a number
-
+
13141121203314 = 232131931543188579
BaseRepresentation
bin1011111100111010011111…
…0111000111110001110010
31201112021112022221102211100
42333032213313013301302
53210301004012001224
643540540413425230
72524262143134126
oct277164767076162
951467468842740
1013141121203314
114207133370545
121582a06a9b216
13744282913110
14336068511586
1517bc6da2bac9
hexbf3a7dc7c72

13141121203314 has 96 divisors (see below), whose sum is σ = 30841628388480. Its totient is φ = 4019843303424.

The previous prime is 13141121203313. The next prime is 13141121203333. The reversal of 13141121203314 is 41330212114131.

13141121203314 is a `hidden beast` number, since 1 + 3 + 1 + 411 + 212 + 0 + 3 + 31 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (13141121203313) 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, 69590677 + ... + 69779255.

It is an arithmetic number, because the mean of its divisors is an integer number (321266962380).

Almost surely, 213141121203314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141121203314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420814194240).

13141121203314 is an abundant number, since it is smaller than the sum of its proper divisors (17700507185166).

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

13141121203314 is a wasteful number, since it uses less digits than its factorization.

13141121203314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190336 (or 190333 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13141121203314 its reverse (41330212114131), we get a palindrome (54471333317445).

The spelling of 13141121203314 in words is "thirteen trillion, one hundred forty-one billion, one hundred twenty-one million, two hundred three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 193 234 386 579 1158 1543 1737 2509 3086 3474 4629 5018 7527 9258 13887 15054 20059 22581 27774 40118 45162 60177 120354 180531 188579 297799 361062 377158 565737 595598 893397 1131474 1697211 1786794 2451527 2680191 3394422 3871387 4903054 5360382 7354581 7742774 11614161 14709162 22063743 23228322 34842483 36395747 44127486 69684966 72791494 109187241 218374482 290977397 327561723 473144711 581954794 655123446 872932191 946289422 1419434133 1745864382 2618796573 2838868266 3782706161 4258302399 5237593146 7565412322 8516604798 11348118483 22696236966 34044355449 56158637621 68088710898 112317275242 168475912863 336951825726 505427738589 730062289073 1010855477178 1460124578146 2190186867219 4380373734438 6570560601657 13141121203314