Search a number
-
+
20321710110 = 23451319101573
BaseRepresentation
bin10010111011010001…
…001011000000011110
31221110020212211120000
4102323101023000132
5313104324210420
613200300435130
71316406454152
oct227321130036
957406784500
1020321710110
118689091649
123b31848aa6
131bbb237350
14daad0b062
157de117690
hex4bb44b01e

20321710110 has 160 divisors (see below), whose sum is σ = 61943888160. Its totient is φ = 4738943232.

The previous prime is 20321710081. The next prime is 20321710163. The reversal of 20321710110 is 1101712302.

It is a happy number.

20321710110 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149284 + ... + 250856.

It is an arithmetic number, because the mean of its divisors is an integer number (387149301).

Almost surely, 220321710110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20321710110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30971944080).

20321710110 is an abundant number, since it is smaller than the sum of its proper divisors (41622178050).

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

20321710110 is a wasteful number, since it uses less digits than its factorization.

20321710110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101624 (or 101615 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 20321710110 in words is "twenty billion, three hundred twenty-one million, seven hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 81 90 95 114 117 130 135 162 171 190 195 234 247 270 285 342 351 390 405 494 513 570 585 702 741 810 855 1026 1053 1170 1235 1482 1539 1710 1755 2106 2223 2470 2565 3078 3510 3705 4446 5130 5265 6669 7410 7695 10530 11115 13338 15390 20007 22230 33345 40014 66690 100035 101573 200070 203146 304719 507865 609438 914157 1015730 1320449 1523595 1828314 1929887 2640898 2742471 3047190 3859774 3961347 4570785 5484942 5789661 6602245 7922694 8227413 9141570 9649435 11579322 11884041 13204490 13712355 16454826 17368983 19298870 19806735 23768082 25088531 27424710 28948305 34737966 35652123 39613470 41137065 50177062 52106949 57896610 59420205 71304246 75265593 82274130 86844915 104213898 106956369 118840410 125442655 150531186 156320847 173689830 178260615 213912738 225796779 250885310 260534745 312641694 356521230 376327965 451593558 521069490 534781845 677390337 752655930 781604235 1069563690 1128983895 1354780674 1563208470 2032171011 2257967790 3386951685 4064342022 6773903370 10160855055 20321710110