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12314441300 = 22527171034827
BaseRepresentation
bin10110111011111111…
…10111011001010100
31011210012210102201112
423131333313121110
5200204444110200
65353541114152
7614110011140
oct133577673124
934705712645
1012314441300
11524a1aa017
1224780b8958
13121334a875
1484b6b0220
154c1183535
hex2ddff7654

12314441300 has 72 divisors (see below), whose sum is σ = 32336305344. Its totient is φ = 3973731840.

The previous prime is 12314441299. The next prime is 12314441309. The reversal of 12314441300 is 314441321.

It is a super-2 number, since 2×123144413002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314441309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505514 + ... + 529313.

It is an arithmetic number, because the mean of its divisors is an integer number (449115352).

Almost surely, 212314441300 is an apocalyptic number.

12314441300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12314441300 is an abundant number, since it is smaller than the sum of its proper divisors (20021864044).

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

12314441300 is a wasteful number, since it uses less digits than its factorization.

12314441300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034865 (or 1034858 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 12314441300 its reverse (314441321), we get a palindrome (12628882621).

The spelling of 12314441300 in words is "twelve billion, three hundred fourteen million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11900 1034827 2069654 4139308 5174135 7243789 10348270 14487578 17592059 20696540 25870675 28975156 35184118 36218945 51741350 70368236 72437890 87960295 103482700 123144413 144875780 175920590 181094725 246288826 351841180 362189450 439801475 492577652 615722065 724378900 879602950 1231444130 1759205900 2462888260 3078610325 6157220650 12314441300