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13113637050 = 23523127710181
BaseRepresentation
bin11000011011010001…
…00011100010111010
31020211220121210012010
430031220203202322
5203324042341200
610005130430350
7642653034663
oct141550434272
936756553163
1013113637050
11561a340678
12265b8923b6
13130caab667
148c58aa36a
1551b3ec150
hex30da238ba

13113637050 has 96 divisors (see below), whose sum is σ = 33695414784. Its totient is φ = 3371616000.

The previous prime is 13113637039. The next prime is 13113637067. The reversal of 13113637050 is 5073631131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13113636999 and 13113637017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282960 + ... + 1293140.

It is an arithmetic number, because the mean of its divisors is an integer number (350993904).

Almost surely, 213113637050 is an apocalyptic number.

13113637050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13113637050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16847707392).

13113637050 is an abundant number, since it is smaller than the sum of its proper divisors (20581777734).

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

13113637050 is a wasteful number, since it uses less digits than its factorization.

13113637050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The spelling of 13113637050 in words is "thirteen billion, one hundred thirteen million, six hundred thirty-seven thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 186 277 310 465 554 775 831 930 1385 1550 1662 2325 2770 4155 4650 6925 8310 8587 10181 13850 17174 20362 20775 25761 30543 41550 42935 50905 51522 61086 85870 101810 128805 152715 214675 254525 257610 305430 315611 429350 509050 631222 644025 763575 946833 1288050 1527150 1578055 1893666 2820137 3156110 4734165 5640274 7890275 8460411 9468330 14100685 15780550 16920822 23670825 28201370 42302055 47341650 70503425 84604110 87424247 141006850 174848494 211510275 262272741 423020550 437121235 524545482 874242470 1311363705 2185606175 2622727410 4371212350 6556818525 13113637050