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20321321620 = 22517596116607
BaseRepresentation
bin10010111011001111…
…101100001010010100
31221110020011002122111
4102323033230022110
5313104224242440
613200244240404
71316403245425
oct227317541224
957406132574
1020321321620
118688946786
123b316a0104
131bbb12c582
14daac4964c
157de08c4ea
hex4bb3ec294

20321321620 has 96 divisors (see below), whose sum is σ = 46707010560. Its totient is φ = 7396976640.

The previous prime is 20321321611. The next prime is 20321321621. The reversal of 20321321620 is 2612312302.

It is a super-2 number, since 2×203213216202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20321321591 and 20321321600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321321621) 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, 1215357 + ... + 1231963.

It is an arithmetic number, because the mean of its divisors is an integer number (486531360).

Almost surely, 220321321620 is an apocalyptic number.

20321321620 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 20321321620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23353505280).

20321321620 is an abundant number, since it is smaller than the sum of its proper divisors (26385688940).

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

20321321620 is a wasteful number, since it uses less digits than its factorization.

20321321620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16753 (or 16751 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 20321321620 its reverse (2612312302), we get a palindrome (22933633922).

The spelling of 20321321620 in words is "twenty billion, three hundred twenty-one million, three hundred twenty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 59 61 68 85 118 122 170 236 244 295 305 340 590 610 1003 1037 1180 1220 2006 2074 3599 4012 4148 5015 5185 7198 10030 10370 14396 16607 17995 20060 20740 33214 35990 61183 66428 71980 83035 122366 166070 244732 282319 305915 332140 564638 611830 979813 1013027 1129276 1223660 1411595 1959626 2026054 2823190 3919252 4052108 4899065 5065135 5646380 9798130 10130270 16656821 17221459 19596260 20260540 33313642 34442918 59768593 66627284 68885836 83284105 86107295 119537186 166568210 172214590 239074372 298842965 333136420 344429180 597685930 1016066081 1195371860 2032132162 4064264324 5080330405 10160660810 20321321620