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12313201032 = 23321121413361
BaseRepresentation
bin10110111011110110…
…01000100110001000
31011210010110102101200
423131323020212020
5200204134413112
65353454344200
7614063324166
oct133573104610
934703412350
1012313201032
115249532200
1224777bb060
131213005192
1484b46a236
154c0edacdc
hex2ddec8988

12313201032 has 72 divisors (see below), whose sum is σ = 36655543470. Its totient is φ = 3731270400.

The previous prime is 12313201027. The next prime is 12313201063. The reversal of 12313201032 is 23010231321.

12313201032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12309014916 + 4186116 = 110946^2 + 2046^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×123132010322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12313200996 and 12313201014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 697969 + ... + 715392.

Almost surely, 212313201032 is an apocalyptic number.

12313201032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12313201032 is an abundant number, since it is smaller than the sum of its proper divisors (24342342438).

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

12313201032 is a wasteful number, since it uses less digits than its factorization.

12313201032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413395 (or 1413377 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12313201032 its reverse (23010231321), we get a palindrome (35323432353).

The spelling of 12313201032 in words is "twelve billion, three hundred thirteen million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 1413361 2826722 4240083 5653444 8480166 11306888 12720249 15546971 16960332 25440498 31093942 33920664 46640913 50880996 62187884 93281826 101761992 124375768 139922739 171016681 186563652 279845478 342033362 373127304 513050043 559690956 684066724 1026100086 1119381912 1368133448 1539150129 2052200172 3078300258 4104400344 6156600516 12313201032