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13114134020 = 225131923115421
BaseRepresentation
bin11000011011010100…
…11100111000000100
31020211221120000220102
430031222130320010
5203324204242040
610005145223232
7642660204611
oct141552347004
936757500812
1013114134020
11561a64aa99
12265ba91b18
13130cc23920
148c5999508
1551b499515
hex30da9ce04

13114134020 has 96 divisors (see below), whose sum is σ = 32576705280. Its totient is φ = 4387806720.

The previous prime is 13114134013. The next prime is 13114134031. The reversal of 13114134020 is 2043141131.

It is a super-2 number, since 2×131141340202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13114133983 and 13114134001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55910 + ... + 171330.

It is an arithmetic number, because the mean of its divisors is an integer number (339340680).

Almost surely, 213114134020 is an apocalyptic number.

13114134020 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 13114134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288352640).

13114134020 is an abundant number, since it is smaller than the sum of its proper divisors (19462571260).

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

13114134020 is a wasteful number, since it uses less digits than its factorization.

13114134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115485 (or 115483 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13114134020 its reverse (2043141131), we get a palindrome (15157275151).

The spelling of 13114134020 in words is "thirteen billion, one hundred fourteen million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 19 20 23 26 38 46 52 65 76 92 95 115 130 190 230 247 260 299 380 437 460 494 598 874 988 1196 1235 1495 1748 2185 2470 2990 4370 4940 5681 5980 8740 11362 22724 28405 56810 113620 115421 230842 461684 577105 1154210 1500473 2192999 2308420 2654683 3000946 4385998 5309366 6001892 7502365 8771996 10618732 10964995 13273415 15004730 21929990 26546830 28508987 30009460 34510879 43859980 50438977 53093660 57017974 69021758 100877954 114035948 138043516 142544935 172554395 201755908 252194885 285089870 345108790 504389770 570179740 655706701 690217580 1008779540 1311413402 2622826804 3278533505 6557067010 13114134020