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12302312313000 = 233534100770771
BaseRepresentation
bin1011001100000101101011…
…1101001001000010101000
31121120002102022000210122210
42303001122331021002220
53103030113423004000
642055334304045120
72406545524201233
oct263013275110250
947502368023583
1012302312313000
113a13421642086
12146832b6037a0
136b31455b4c28
14307613c7641a
151650285d4350
hexb305af490a8

12302312313000 has 64 divisors (see below), whose sum is σ = 38383214425920. Its totient is φ = 3280616616000.

The previous prime is 12302312312999. The next prime is 12302312313019. The reversal of 12302312313000 is 31321320321.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2050382386 + ... + 2050388385.

It is an arithmetic number, because the mean of its divisors is an integer number (599737725405).

Almost surely, 212302312313000 is an apocalyptic number.

12302312313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12302312313000 is an abundant number, since it is smaller than the sum of its proper divisors (26080902112920).

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

12302312313000 is a wasteful number, since it uses less digits than its factorization.

12302312313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100770795 (or 4100770781 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12302312313000 its reverse (31321320321), we get a palindrome (12333633633321).

The spelling of 12302312313000 in words is "twelve trillion, three hundred two billion, three hundred twelve million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4100770771 8201541542 12302312313 16403083084 20503853855 24604624626 32806166168 41007707710 49209249252 61511561565 82015415420 98418498504 102519269275 123023123130 164030830840 205038538550 246046246260 307557807825 410077077100 492092492520 512596346375 615115615650 820154154200 1025192692750 1230231231300 1537789039125 2050385385500 2460462462600 3075578078250 4100770771000 6151156156500 12302312313000