Search a number
-
+
12503563031421 = 32711121327148711
BaseRepresentation
bin1011010111110011011001…
…1011101101001101111101
31122021022212210202120021200
42311330312123231031331
53114324244114001141
642332020233250113
72430231643112520
oct265746633551575
948238783676250
1012503563031421
113a90805400570
12149b335b63939
136c9108a75977
143132660cabb7
1516a3a6761ab6
hexb5f366ed37d

12503563031421 has 48 divisors (see below), whose sum is σ = 22517576060928. Its totient is φ = 6495260205600.

The previous prime is 12503563031411. The next prime is 12503563031441. The reversal of 12503563031421 is 12413036530521.

12503563031421 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 3 + 5 + 630 + 3 + 14 + 2 + 1 = 666.

It is not a de Polignac number, because 12503563031421 - 230 = 12502489289597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12503563031411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84005256 + ... + 84153966.

It is an arithmetic number, because the mean of its divisors is an integer number (469116167936).

Almost surely, 212503563031421 is an apocalyptic number.

12503563031421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12503563031421 is a deficient number, since it is larger than the sum of its proper divisors (10014013029507).

12503563031421 is a wasteful number, since it uses less digits than its factorization.

12503563031421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270062 (or 270059 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 12503563031421 its reverse (12413036530521), we get a palindrome (24916599561942).

The spelling of 12503563031421 in words is "twelve trillion, five hundred three billion, five hundred sixty-three million, thirty-one thousand, four hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 121327 148711 363981 446133 849289 1040977 1091943 1334597 1338399 1635821 2547867 3122931 4003791 4907463 7643601 9342179 9368793 11450747 12011373 14722389 28026537 34352241 84079611 103056723 18042659497 54127978491 126298616479 162383935473 198469254467 378895849437 595407763401 1136687548311 1389284781269 1786223290203 4167854343807 12503563031421