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20321313000 = 2335353127807
BaseRepresentation
bin10010111011001111…
…101010000011101000
31221110020010122211020
4102323033222003220
5313104224004000
613200244132440
71316403211332
oct227317520350
957406118736
1020321313000
11868894025a
123b31697120
131bbb128681
14daac46452
157de089ba0
hex4bb3ea0e8

20321313000 has 128 divisors (see below), whose sum is σ = 64599275520. Its totient is φ = 5316729600.

The previous prime is 20321312989. The next prime is 20321313007. The reversal of 20321313000 is 31312302.

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

It is not an unprimeable number, because it can be changed into a prime (20321313007) 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, 95097 + ... + 222903.

It is an arithmetic number, because the mean of its divisors is an integer number (504681840).

Almost surely, 220321313000 is an apocalyptic number.

20321313000 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 20321313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32299637760).

20321313000 is an abundant number, since it is smaller than the sum of its proper divisors (44277962520).

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

20321313000 is a wasteful number, since it uses less digits than its factorization.

20321313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127884 (or 127870 counting only the distinct ones).

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

Adding to 20321313000 its reverse (31312302), we get a palindrome (20352625302).

The spelling of 20321313000 in words is "twenty billion, three hundred twenty-one million, three hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 125 150 159 200 212 250 265 300 318 375 424 500 530 600 636 750 795 1000 1060 1272 1325 1500 1590 2120 2650 3000 3180 3975 5300 6360 6625 7950 10600 13250 15900 19875 26500 31800 39750 53000 79500 127807 159000 255614 383421 511228 639035 766842 1022456 1278070 1533684 1917105 2556140 3067368 3195175 3834210 5112280 6390350 6773771 7668420 9585525 12780700 13547542 15336840 15975875 19171050 20321313 25561400 27095084 31951750 33868855 38342100 40642626 47927625 54190168 63903500 67737710 76684200 81285252 95855250 101606565 127807000 135475420 162570504 169344275 191710500 203213130 270950840 338688550 383421000 406426260 508032825 677377100 812852520 846721375 1016065650 1354754200 1693442750 2032131300 2540164125 3386885500 4064262600 5080328250 6773771000 10160656500 20321313000