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313321002000 = 2435352220167
BaseRepresentation
bin1001000111100110110…
…00110001010000010000
31002221201212202001011120
410203303120301100100
520113140134031000
6355534312242240
731431246401016
oct4436330612020
91087655661146
10313321002000
111109735a0266
12508826a0380
1323713872906
141124438a8b6
15823bdbc6a0
hex48f3631410

313321002000 has 80 divisors (see below), whose sum is σ = 1010146929792. Its totient is φ = 83552265600.

The previous prime is 313321001927. The next prime is 313321002023. The reversal of 313321002000 is 200123313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26104084 + ... + 26116083.

Almost surely, 2313321002000 is an apocalyptic number.

313321002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313321002000 is an abundant number, since it is smaller than the sum of its proper divisors (696825927792).

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

313321002000 is a wasteful number, since it uses less digits than its factorization.

313321002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52220193 (or 52220177 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 313321002000 its reverse (200123313), we get a palindrome (313521125313).

The spelling of 313321002000 in words is "three hundred thirteen billion, three hundred twenty-one million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 52220167 104440334 156660501 208880668 261100835 313321002 417761336 522201670 626642004 783302505 835522672 1044403340 1253284008 1305504175 1566605010 2088806680 2506568016 2611008350 3133210020 3916512525 4177613360 5222016700 6266420040 6527520875 7833025050 10444033400 12532840080 13055041750 15666050100 19582562625 20888066800 26110083500 31332100200 39165125250 52220167000 62664200400 78330250500 104440334000 156660501000 313321002000