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12113201320 = 2351182733289
BaseRepresentation
bin10110100100000000…
…01100100010101000
31011021012010101100221
423102000030202220
5144301434420240
65321551535424
7606114340513
oct132200144250
934235111327
1012113201320
11515664a490
12242082a574
1311b074b05c
1482ca87d7a
154ad681a4a
hex2d200c8a8

12113201320 has 64 divisors (see below), whose sum is σ = 29769249600. Its totient is φ = 4399342080.

The previous prime is 12113201281. The next prime is 12113201329. The reversal of 12113201320 is 2310231121.

It is a junction number, because it is equal to n+sod(n) for n = 12113201294 and 12113201303.

It is not an unprimeable number, because it can be changed into a prime (12113201329) 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, 347236 + ... + 380524.

It is an arithmetic number, because the mean of its divisors is an integer number (465144525).

Almost surely, 212113201320 is an apocalyptic number.

12113201320 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 12113201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14884624800).

12113201320 is an abundant number, since it is smaller than the sum of its proper divisors (17656048280).

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

12113201320 is a wasteful number, since it uses less digits than its factorization.

12113201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34138 (or 34134 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12113201320 its reverse (2310231121), we get a palindrome (14423432441).

The spelling of 12113201320 in words is "twelve billion, one hundred thirteen million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 827 1654 3308 4135 6616 8270 9097 16540 18194 33080 33289 36388 45485 66578 72776 90970 133156 166445 181940 266312 332890 363880 366179 665780 732358 1331560 1464716 1830895 2929432 3661790 7323580 14647160 27530003 55060006 110120012 137650015 220240024 275300030 302830033 550600060 605660066 1101200120 1211320132 1514150165 2422640264 3028300330 6056600660 12113201320