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20334313000 = 2353194324889
BaseRepresentation
bin10010111100000001…
…001111111000101000
31221111010121010110201
4102330001033320220
5313121041004000
613201430521544
71316621544241
oct227401177050
957433533421
1020334313000
11869520a361
123b35b062b4
131bc0a2a891
14dac86bcc8
157e02a696a
hex4bc04fe28

20334313000 has 128 divisors (see below), whose sum is σ = 51253488000. Its totient is φ = 7526131200.

The previous prime is 20334312991. The next prime is 20334313001. The reversal of 20334313000 is 31343302.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (20334313001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 804556 + ... + 829444.

It is an arithmetic number, because the mean of its divisors is an integer number (400417875).

Almost surely, 220334313000 is an apocalyptic number.

20334313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20334313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25626744000).

20334313000 is an abundant number, since it is smaller than the sum of its proper divisors (30919175000).

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

20334313000 is a wasteful number, since it uses less digits than its factorization.

20334313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24972 (or 24958 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 20334313000 its reverse (31343302), we get a palindrome (20365656302).

The spelling of 20334313000 in words is "twenty billion, three hundred thirty-four million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 43 50 76 86 95 100 125 152 172 190 200 215 250 344 380 430 475 500 760 817 860 950 1000 1075 1634 1720 1900 2150 2375 3268 3800 4085 4300 4750 5375 6536 8170 8600 9500 10750 16340 19000 20425 21500 24889 32680 40850 43000 49778 81700 99556 102125 124445 163400 199112 204250 248890 408500 472891 497780 622225 817000 945782 995560 1070227 1244450 1891564 2140454 2364455 2488900 3111125 3783128 4280908 4728910 4977800 5351135 6222250 8561816 9457820 10702270 11822275 12444500 18915640 20334313 21404540 23644550 24889000 26755675 40668626 42809080 47289100 53511350 59111375 81337252 94578200 101671565 107022700 118222750 133778375 162674504 203343130 214045400 236445500 267556750 406686260 472891000 508357825 535113500 813372520 1016715650 1070227000 2033431300 2541789125 4066862600 5083578250 10167156500 20334313000