Search a number
-
+
13436401100 = 2252412671193
BaseRepresentation
bin11001000001101111…
…10011010111001100
31021200101221220020012
430200313303113030
5210004204313400
610101140412352
7653652345023
oct144067632714
937611856205
1013436401100
115775553021
12272b9a70b8
1313619199c5
149166c78ba
15539905d35
hex320df35cc

13436401100 has 108 divisors (see below), whose sum is σ = 30356958072. Its totient is φ = 5160883200.

The previous prime is 13436401063. The next prime is 13436401117. The reversal of 13436401100 is 110463431.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11262104 + ... + 11263296.

Almost surely, 213436401100 is an apocalyptic number.

13436401100 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 13436401100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15178479036).

13436401100 is an abundant number, since it is smaller than the sum of its proper divisors (16920556972).

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

13436401100 is a wasteful number, since it uses less digits than its factorization.

13436401100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13436401100 its reverse (110463431), we get a palindrome (13546864531).

The spelling of 13436401100 in words is "thirteen billion, four hundred thirty-six million, four hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 67 82 100 134 164 205 268 335 410 670 820 1025 1193 1340 1675 1681 2050 2386 2747 3350 3362 4100 4772 5494 5965 6700 6724 8405 10988 11930 13735 16810 23860 27470 29825 33620 42025 48913 54940 59650 68675 79931 84050 97826 112627 119300 137350 159862 168100 195652 225254 244565 274700 319724 399655 450508 489130 563135 799310 978260 1126270 1222825 1598620 1998275 2005433 2252540 2445650 2815675 3277171 3996550 4010866 4891300 5631350 6554342 7993100 8021732 10027165 11262700 13108684 16385855 20054330 32771710 40108660 50135825 65543420 81929275 100271650 134364011 163858550 200543300 268728022 327717100 537456044 671820055 1343640110 2687280220 3359100275 6718200550 13436401100