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13071236500 = 2253715492411
BaseRepresentation
bin11000010110001101…
…10011110110010100
31020201221211121120101
430023012303312110
5203232214032000
610001013543444
7641626451140
oct141306636624
936657747511
1013071236500
1155a84104a3
122649644b84
13130408428a
148bddd0220
15517823e6a
hex30b1b3d94

13071236500 has 96 divisors (see below), whose sum is σ = 32660409600. Its totient is φ = 4476816000.

The previous prime is 13071236489. The next prime is 13071236501. The reversal of 13071236500 is 563217031.

13071236500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13071236501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5420295 + ... + 5422705.

It is an arithmetic number, because the mean of its divisors is an integer number (340212600).

Almost surely, 213071236500 is an apocalyptic number.

13071236500 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 13071236500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16330204800).

13071236500 is an abundant number, since it is smaller than the sum of its proper divisors (19589173100).

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

13071236500 is a wasteful number, since it uses less digits than its factorization.

13071236500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

It can be divided in two parts, 13071 and 236500, that added together give a triangular number (249571 = T706).

The spelling of 13071236500 in words is "thirteen billion, seventy-one million, two hundred thirty-six thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1549 1750 2411 3098 3500 4822 6196 7745 9644 10843 12055 15490 16877 21686 24110 30980 33754 38725 43372 48220 54215 60275 67508 77450 84385 108430 120550 154900 168770 193625 216860 241100 271075 301375 337540 387250 421925 542150 602750 774500 843850 1084300 1205500 1355375 1687700 2109625 2710750 3734639 4219250 5421500 7469278 8438500 14938556 18673195 26142473 37346390 52284946 74692780 93365975 104569892 130712365 186731950 261424730 373463900 466829875 522849460 653561825 933659750 1307123650 1867319500 2614247300 3267809125 6535618250 13071236500