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13114134020420 = 22517435471639853
BaseRepresentation
bin1011111011010101111101…
…0011001100000101000100
31201102200212112210111112222
42332311133103030011010
53204330221302123140
643520314444431512
72522315315642456
oct276653723140504
951380775714488
1013114134020420
1141a6744851604
121579734b48598
1374187179c444
14334a282882d6
1517b1de6795b5
hexbed5f4cc144

13114134020420 has 96 divisors (see below), whose sum is σ = 29892360693888. Its totient is φ = 4813451016192.

The previous prime is 13114134020387. The next prime is 13114134020441. The reversal of 13114134020420 is 2402043141131.

It is a super-2 number, since 2×131141340204202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13114134020420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7177214 + ... + 8817066.

It is an arithmetic number, because the mean of its divisors is an integer number (311378757228).

Almost surely, 213114134020420 is an apocalyptic number.

13114134020420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13114134020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946180346944).

13114134020420 is an abundant number, since it is smaller than the sum of its proper divisors (16778226673468).

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

13114134020420 is a wasteful number, since it uses less digits than its factorization.

13114134020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640469 (or 1640467 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 13114134020420 its reverse (2402043141131), we get a palindrome (15516177161551).

The spelling of 13114134020420 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirty-four million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 340 430 547 731 860 1094 1462 2188 2735 2924 3655 5470 7310 9299 10940 14620 18598 23521 37196 46495 47042 92990 94084 117605 185980 235210 399857 470420 799714 1599428 1639853 1999285 3279706 3998570 6559412 7997140 8199265 16398530 27877501 32797060 55755002 70513679 111510004 139387505 141027358 278775010 282054716 352568395 557550020 705136790 896999591 1198732543 1410273580 1793999182 2397465086 3587998364 4484997955 4794930172 5993662715 8969995910 11987325430 15248993047 17939991820 23974650860 30497986094 38570982413 60995972188 76244965235 77141964826 152489930470 154283929652 192854912065 304979860940 385709824130 655706701021 771419648260 1311413402042 2622826804084 3278533505105 6557067010210 13114134020420