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31344104324313 = 32112910917486703
BaseRepresentation
bin1110010000001110111100…
…01101000011110011011001
311002222110121112010000201100
413020013132031003303121
513102020211201334223
6150355141023342013
76413352060550524
oct710073615036331
9132873545100640
1031344104324313
119a94a6182a950
123622845151909
131464975a064c1
147a50c4251bbb
153954eabb7043
hex1c81de343cd9

31344104324313 has 24 divisors (see below), whose sum is σ = 51093837774720. Its totient is φ = 18341377659360.

The previous prime is 31344104324303. The next prime is 31344104324321. The reversal of 31344104324313 is 31342340144313.

31344104324313 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 4 + 10 + 4 + 324 + 313 = 666.

It is not a de Polignac number, because 31344104324313 - 221 = 31344102227161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31344104324303) 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, 5458740481 + ... + 5458746222.

It is an arithmetic number, because the mean of its divisors is an integer number (2128909907280).

Almost surely, 231344104324313 is an apocalyptic number.

31344104324313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31344104324313 is a deficient number, since it is larger than the sum of its proper divisors (19749733450407).

31344104324313 is a wasteful number, since it uses less digits than its factorization.

31344104324313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10917486749 (or 10917486746 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 31344104324313 its reverse (31342340144313), we get a palindrome (62686444468626).

The spelling of 31344104324313 in words is "thirty-one trillion, three hundred forty-four billion, one hundred four million, three hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 3 9 11 29 33 87 99 261 319 957 2871 10917486703 32752460109 98257380327 120092353733 316607114387 360277061199 949821343161 1080831183597 2849464029483 3482678258257 10448034774771 31344104324313