Search a number
-
+
13431310000 = 24542322539
BaseRepresentation
bin11001000001001000…
…11000011010110000
31021200001101020112221
430200210120122300
5210001403410000
610100435330424
7653561152123
oct144044303260
937601336487
1013431310000
115772695aa9
12272a150a14
131360856614
14915b603ba
1553924c61a
hex3209186b0

13431310000 has 150 divisors (see below), whose sum is σ = 34007254820. Its totient is φ = 5136912000.

The previous prime is 13431309973. The next prime is 13431310019. The reversal of 13431310000 is 1313431.

It is a super-2 number, since 2×134313100002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5288731 + ... + 5291269.

Almost surely, 213431310000 is an apocalyptic number.

13431310000 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 13431310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17003627410).

13431310000 is an abundant number, since it is smaller than the sum of its proper divisors (20575944820).

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

13431310000 is an equidigital number, since it uses as much as digits as its factorization.

13431310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13431310000 its reverse (1313431), we get a palindrome (13432623431).

The spelling of 13431310000 in words is "thirteen billion, four hundred thirty-one million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 529 575 625 920 1000 1058 1150 1250 1840 2000 2116 2300 2500 2539 2645 2875 4232 4600 5000 5078 5290 5750 8464 9200 10000 10156 10580 11500 12695 13225 14375 20312 21160 23000 25390 26450 28750 40624 42320 46000 50780 52900 57500 58397 63475 66125 101560 105800 115000 116794 126950 132250 203120 211600 230000 233588 253900 264500 291985 317375 330625 467176 507800 529000 583970 634750 661250 934352 1015600 1058000 1167940 1269500 1322500 1343131 1459925 1586875 2335880 2539000 2645000 2686262 2919850 3173750 4671760 5078000 5290000 5372524 5839700 6347500 6715655 7299625 10745048 11679400 12695000 13431310 14599250 21490096 23358800 25390000 26862620 29198500 33578275 36498125 53725240 58397000 67156550 72996250 107450480 116794000 134313100 145992500 167891375 268626200 291985000 335782750 537252400 583970000 671565500 839456875 1343131000 1678913750 2686262000 3357827500 6715655000 13431310000