Search a number
-
+
20323113210 = 23253737916103
BaseRepresentation
bin10010111011010110…
…100001100011111010
31221110100112010020200
4102323112201203322
5313110204110320
613200350503030
71316424416631
oct227326414372
957410463220
1020323113210
11868995a834
123b32204a76
131bbb608b9a
14dab194518
157de2e3290
hex4bb5a18fa

20323113210 has 96 divisors (see below), whose sum is σ = 54414771840. Its totient is φ = 5258784384.

The previous prime is 20323113197. The next prime is 20323113259. The reversal of 20323113210 is 1231132302.

20323113210 is a `hidden beast` number, since 2 + 0 + 32 + 311 + 321 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1254019 + ... + 1270121.

It is an arithmetic number, because the mean of its divisors is an integer number (566820540).

Almost surely, 220323113210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20323113210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27207385920).

20323113210 is an abundant number, since it is smaller than the sum of its proper divisors (34091658630).

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

20323113210 is a wasteful number, since it uses less digits than its factorization.

20323113210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16532 (or 16529 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20323113210 its reverse (1231132302), we get a palindrome (21554245512).

The spelling of 20323113210 in words is "twenty billion, three hundred twenty-three million, one hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 379 555 666 758 1110 1137 1665 1895 2274 3330 3411 3790 5685 6822 11370 14023 16103 17055 28046 32206 34110 42069 48309 70115 80515 84138 96618 126207 140230 144927 161030 210345 241545 252414 289854 420690 483090 595811 631035 724635 1191622 1262070 1449270 1787433 2979055 3574866 5362299 5958110 6103037 8937165 10724598 12206074 17874330 18309111 26811495 30515185 36618222 53622990 54927333 61030370 91545555 109854666 183091110 225812369 274636665 451624738 549273330 677437107 1129061845 1354874214 2032311321 2258123690 3387185535 4064622642 6774371070 10161556605 20323113210