Search a number
-
+
13114123130043 = 32131311697504197
BaseRepresentation
bin1011111011010101111010…
…1001101001010010111011
31201102200211210022012202200
42332311132221221102323
53204330211010130133
643520313415201243
72522315124244215
oct276653651512273
951380753265680
1013114123130043
1141a67396934a1
121579731376223
1374186c458530
14334a26a515b5
1517b1dd727913
hexbed5ea694bb

13114123130043 has 48 divisors (see below), whose sum is σ = 20567623972896. Its totient is φ = 8003889653760.

The previous prime is 13114123129997. The next prime is 13114123130107. The reversal of 13114123130043 is 34003132141131.

13114123130043 is a `hidden beast` number, since 1 + 311 + 4 + 1 + 2 + 3 + 1 + 300 + 43 = 666.

It is not a de Polignac number, because 13114123130043 - 234 = 13096943260859 is a prime.

It is a super-2 number, since 2×131141231300432 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13114123129989 and 13114123130016.

It is not an unprimeable number, because it can be changed into a prime (13114123130243) 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, 25757821 + ... + 26262017.

It is an arithmetic number, because the mean of its divisors is an integer number (428492166102).

Almost surely, 213114123130043 is an apocalyptic number.

13114123130043 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13114123130043 is a deficient number, since it is larger than the sum of its proper divisors (7453500842853).

13114123130043 is a wasteful number, since it uses less digits than its factorization.

13114123130043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506044 (or 506041 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13114123130043 its reverse (34003132141131), we get a palindrome (47117255271174).

The spelling of 13114123130043 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty-three million, one hundred thirty thousand, forty-three".

Divisors: 1 3 9 13 39 117 131 393 1179 1697 1703 5091 5109 15273 15327 22061 66183 198549 222307 504197 666921 1512591 2000763 2889991 4537773 6554561 8669973 19663683 26009919 58991049 66049807 198149421 594448263 855622309 858647491 2566866927 2575942473 7700600781 7727827419 11123090017 33369270051 100107810153 112086522479 336259567437 1008778702311 1457124792227 4371374376681 13114123130043