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13112000320 = 265194350153
BaseRepresentation
bin11000011011000100…
…10011111101000000
31020211210112122000111
430031202103331000
5203323133002240
610005031401104
7642633110116
oct141542237500
936753478014
1013112000320
115619422a01
12265b223194
13130c657693
148c55a1ab6
1551b1c71ea
hex30d893f40

13112000320 has 112 divisors (see below), whose sum is σ = 33631266240. Its totient is φ = 4853108736.

The previous prime is 13112000311. The next prime is 13112000327. The reversal of 13112000320 is 2300021131.

It is a self number, because there is not a number n which added to its sum of digits gives 13112000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112000327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236364 + ... + 286516.

Almost surely, 213112000320 is an apocalyptic number.

13112000320 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 13112000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16815633120).

13112000320 is an abundant number, since it is smaller than the sum of its proper divisors (20519265920).

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

13112000320 is a wasteful number, since it uses less digits than its factorization.

13112000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50232 (or 50222 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13112000320 its reverse (2300021131), we get a palindrome (15412021451).

The spelling of 13112000320 in words is "thirteen billion, one hundred twelve million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 43 64 76 80 86 95 152 160 172 190 215 304 320 344 380 430 608 688 760 817 860 1216 1376 1520 1634 1720 2752 3040 3268 3440 4085 6080 6536 6880 8170 13072 13760 16340 26144 32680 50153 52288 65360 100306 130720 200612 250765 261440 401224 501530 802448 952907 1003060 1604896 1905814 2006120 2156579 3209792 3811628 4012240 4313158 4764535 7623256 8024480 8626316 9529070 10782895 15246512 16048960 17252632 19058140 21565790 30493024 34505264 38116280 40975001 43131580 60986048 69010528 76232560 81950002 86263160 138021056 152465120 163900004 172526320 204875005 304930240 327800008 345052640 409750010 655600016 690105280 819500020 1311200032 1639000040 2622400064 3278000080 6556000160 13112000320