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12314233041 = 311267895689
BaseRepresentation
bin10110111011111110…
…00100100011010001
31011210012101212001020
423131333010203101
5200204420424131
65353532430053
7614105153025
oct133577044321
934705355036
1012314233041
11524a077600
122478018329
1312132a6b36
1484b658385
154c1141996
hex2ddfc48d1

12314233041 has 48 divisors (see below), whose sum is σ = 18525729600. Its totient is φ = 7267898880.

The previous prime is 12314233031. The next prime is 12314233111. The reversal of 12314233041 is 14033241321.

It is a happy number.

It is not a de Polignac number, because 12314233041 - 26 = 12314232977 is a prime.

It is a super-2 number, since 2×123142330412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12314233021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2161725 + ... + 2167413.

It is an arithmetic number, because the mean of its divisors is an integer number (385952700).

Almost surely, 212314233041 is an apocalyptic number.

12314233041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12314233041 is a deficient number, since it is larger than the sum of its proper divisors (6211496559).

12314233041 is a wasteful number, since it uses less digits than its factorization.

12314233041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5859 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 12314233041 its reverse (14033241321), we get a palindrome (26347474362).

The spelling of 12314233041 in words is "twelve billion, three hundred fourteen million, two hundred thirty-three thousand, forty-one".

Divisors: 1 3 11 33 67 89 121 201 267 363 737 979 2211 2937 5689 5963 8107 10769 17067 17889 24321 32307 62579 65593 187737 196779 381163 506321 688369 721523 1143489 1518963 2065107 2164569 4192793 5569531 12578379 16708593 33923507 46120723 61264841 101770521 138362169 183794523 373158577 1119475731 4104744347 12314233041