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20313311312 = 2471924373917
BaseRepresentation
bin10010111010110001…
…001000100001010000
31221102200002010120102
4102322301020201100
5313100201430222
613155400431532
71316245203650
oct227261104120
957380063512
1020313311312
118684375498
123b2aa785a8
131bb9586548
14da9b62360
157dd508d92
hex4bac48850

20313311312 has 80 divisors (see below), whose sum is σ = 47378336640. Its totient is φ = 8242020864.

The previous prime is 20313311309. The next prime is 20313311323. The reversal of 20313311312 is 21311331302.

It is a super-2 number, since 2×203133113122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5183978 + ... + 5187894.

It is an arithmetic number, because the mean of its divisors is an integer number (592229208).

Almost surely, 220313311312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20313311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23689168320).

20313311312 is an abundant number, since it is smaller than the sum of its proper divisors (27065025328).

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

20313311312 is a wasteful number, since it uses less digits than its factorization.

20313311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 20313311312 its reverse (21311331302), we get a palindrome (41624642614).

The spelling of 20313311312 in words is "twenty billion, three hundred thirteen million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 2437 3917 4874 7834 9748 15668 17059 19496 27419 31336 34118 38992 46303 54838 62672 68236 74423 92606 109676 136472 148846 185212 219352 272944 297692 324121 370424 438704 520961 595384 648242 740848 1041922 1190768 1296484 2083844 2592968 4167688 5185936 8335376 9545729 19091458 38182916 66820103 76365832 133640206 152731664 181368851 267280412 362737702 534560824 725475404 1069121648 1269581957 1450950808 2539163914 2901901616 5078327828 10156655656 20313311312