Search a number
-
+
13111402000 = 245347139483
BaseRepresentation
bin11000011011000000…
…00001111000010000
31020211202102020021111
430031200001320100
5203323004331000
610005010503104
7642625035544
oct141540017020
936752366244
1013111402000
115619054424
12265ab94a94
13130c4a8248
148c5487a24
1551b109cba
hex30d801e10

13111402000 has 80 divisors (see below), whose sum is σ = 32378141952. Its totient is φ = 5132937600.

The previous prime is 13111401983. The next prime is 13111402033. The reversal of 13111402000 is 20411131.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24259 + ... + 163741.

Almost surely, 213111402000 is an apocalyptic number.

13111402000 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 13111402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189070976).

13111402000 is an abundant number, since it is smaller than the sum of its proper divisors (19266739952).

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

13111402000 is a wasteful number, since it uses less digits than its factorization.

13111402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139553 (or 139537 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 13111402000 its reverse (20411131), we get a palindrome (13131813131).

The spelling of 13111402000 in words is "thirteen billion, one hundred eleven million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 47000 94000 139483 278966 557932 697415 1115864 1394830 2231728 2789660 3487075 5579320 6555701 6974150 11158640 13111402 13948300 17435375 26222804 27896600 32778505 34870750 52445608 55793200 65557010 69741500 104891216 131114020 139483000 163892525 262228040 278966000 327785050 524456080 655570100 819462625 1311140200 1638925250 2622280400 3277850500 6555701000 13111402000