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12313014 = 237331193
BaseRepresentation
bin101110111110…
…000110110110
3212011120021120
4232332012312
511123004024
61115524410
7206442000
oct56760666
925146246
1012313014
116a4aa4a
124159706
13272160c
1418c7370
151133479
hexbbe1b6

12313014 has 64 divisors (see below), whose sum is σ = 29798400. Its totient is φ = 3386880.

The previous prime is 12313003. The next prime is 12313043. The reversal of 12313014 is 41031321.

It is a super-2 number, since 2×123130142 = 303220627528392, which contains 22 as substring.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 12312984 and 12313002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63702 + ... + 63894.

It is an arithmetic number, because the mean of its divisors is an integer number (465600).

Almost surely, 212313014 is an apocalyptic number.

12313014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12313014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14899200).

12313014 is an abundant number, since it is smaller than the sum of its proper divisors (17485386).

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

12313014 is a wasteful number, since it uses less digits than its factorization.

12313014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12313014 is about 3508.9904531076. The cubic root of 12313014 is about 230.9164068516.

Adding to 12313014 its reverse (41031321), we get a palindrome (53344335).

The spelling of 12313014 in words is "twelve million, three hundred thirteen thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 193 217 294 343 386 434 579 651 686 1029 1158 1302 1351 1519 2058 2702 3038 4053 4557 5983 8106 9114 9457 10633 11966 17949 18914 21266 28371 31899 35898 41881 56742 63798 66199 83762 125643 132398 198597 251286 293167 397194 586334 879501 1759002 2052169 4104338 6156507 12313014