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20301331120 = 245728596029
BaseRepresentation
bin10010111010000011…
…011011101010110000
31221101211112110211121
4102322003123222300
5313034120043440
613154251552024
71316041316200
oct227203335260
957354473747
1020301331120
118678632604
123b26a5b614
131bb6c50585
14da8324400
157dc43e34a
hex4ba0dbab0

20301331120 has 120 divisors (see below), whose sum is σ = 54979851600. Its totient is φ = 6951200256.

The previous prime is 20301331091. The next prime is 20301331123. The reversal of 20301331120 is 2113310302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20301331094 and 20301331103.

It is not an unprimeable number, because it can be changed into a prime (20301331123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3364266 + ... + 3370294.

It is an arithmetic number, because the mean of its divisors is an integer number (458165430).

Almost surely, 220301331120 is an apocalyptic number.

20301331120 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 20301331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27489925800).

20301331120 is an abundant number, since it is smaller than the sum of its proper divisors (34678520480).

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

20301331120 is a wasteful number, since it uses less digits than its factorization.

20301331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6915 (or 6902 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 20301331120 its reverse (2113310302), we get a palindrome (22414641422).

The spelling of 20301331120 in words is "twenty billion, three hundred one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 859 980 1718 1960 3436 3920 4295 6013 6029 6872 8590 12026 12058 13744 17180 24052 24116 30065 30145 34360 42091 42203 48104 48232 60130 60290 68720 84182 84406 96208 96464 120260 120580 168364 168812 210455 211015 240520 241160 295421 336728 337624 420910 422030 481040 482320 590842 673456 675248 841820 844060 1181684 1477105 1683640 1688120 2363368 2954210 3367280 3376240 4726736 5178911 5908420 10357822 11816840 20715644 23633680 25894555 36252377 41431288 51789110 72504754 82862576 103578220 145009508 181261885 207156440 253766639 290019016 362523770 414312880 507533278 580038032 725047540 1015066556 1268833195 1450095080 2030133112 2537666390 2900190160 4060266224 5075332780 10150665560 20301331120