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13020320112 = 243677435449
BaseRepresentation
bin11000010000001001…
…00101000101110000
31020121102000210102020
430020010211011300
5203131200220422
65551554351440
7640440615642
oct141004450560
936542023366
1013020320112
1155816a4238
12263458b580
1312c6667a37
148b7338892
1551311795c
hex308125170

13020320112 has 80 divisors (see below), whose sum is σ = 34190073600. Its totient is φ = 4268791296.

The previous prime is 13020320099. The next prime is 13020320119. The reversal of 13020320112 is 21102302031.

It is a junction number, because it is equal to n+sod(n) for n = 13020320091 and 13020320100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13020320119) by changing a digit.

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, 2386764 + ... + 2392212.

It is an arithmetic number, because the mean of its divisors is an integer number (427375920).

Almost surely, 213020320112 is an apocalyptic number.

13020320112 is a gapful number since it is divisible by the number (12) 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 13020320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095036800).

13020320112 is an abundant number, since it is smaller than the sum of its proper divisors (21169753488).

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

13020320112 is a wasteful number, since it uses less digits than its factorization.

13020320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6270 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13020320112 its reverse (21102302031), we get a palindrome (34122622143).

The spelling of 13020320112 in words is "thirteen billion, twenty million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 743 804 1072 1486 1608 2229 2972 3216 4458 5449 5944 8916 10898 11888 16347 17832 21796 32694 35664 43592 49781 65388 87184 99562 130776 149343 199124 261552 298686 365083 398248 597372 730166 796496 1095249 1194744 1460332 2190498 2389488 2920664 4048607 4380996 5841328 8097214 8761992 12145821 16194428 17523984 24291642 32388856 48583284 64777712 97166568 194333136 271256669 542513338 813770007 1085026676 1627540014 2170053352 3255080028 4340106704 6510160056 13020320112