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20201021312 = 271910182241
BaseRepresentation
bin10010110100000100…
…110001111110000000
31221010211210012122112
4102310010301332000
5312332430140222
613140305554452
71313412563603
oct226404617600
957124705575
1020201021312
118626a4a33a
123ab9345a28
131b9c22ba64
14d98c9233a
157d3727be2
hex4b4131f80

20201021312 has 64 divisors (see below), whose sum is σ = 42782288400. Its totient is φ = 9474048000.

The previous prime is 20201021311. The next prime is 20201021359. The reversal of 20201021312 is 21312010202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201021311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204512 + ... + 286752.

Almost surely, 220201021312 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 20201021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21391144200).

20201021312 is an abundant number, since it is smaller than the sum of its proper divisors (22581267088).

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

20201021312 is a wasteful number, since it uses less digits than its factorization.

20201021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82375 (or 82363 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20201021312 its reverse (21312010202), we get a palindrome (41513031514).

It can be divided in two parts, 202010 and 21312, that added together give a palindrome (223322).

The spelling of 20201021312 in words is "twenty billion, two hundred one million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 128 152 202 304 404 608 808 1216 1616 1919 2432 3232 3838 6464 7676 12928 15352 30704 61408 82241 122816 164482 245632 328964 657928 1315856 1562579 2631712 3125158 5263424 6250316 8306341 10526848 12500632 16612682 25001264 33225364 50002528 66450728 100005056 132901456 157820479 200010112 265802912 315640958 531605824 631281916 1063211648 1262563832 2525127664 5050255328 10100510656 20201021312