Search a number
-
+
220211012202020 = 225717293190539151
BaseRepresentation
bin110010000100011111011111…
…001010000110111000100100
31001212200222010001210001222122
4302010133133022012320210
5212330414123110431040
62100203313055245112
764245502111426610
oct6204373712067044
91055628101701878
10220211012202020
1164190a69553994
1220846452519798
1395b4a6a19c348
143c543ac6cc340
151a6d2d90491b5
hexc847df286e24

220211012202020 has 96 divisors (see below), whose sum is σ = 578891423738880. Its totient is φ = 68609353881600.

The previous prime is 220211012201993. The next prime is 220211012202047. The reversal of 220211012202020 is 20202210112022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220211012201993) and next prime (220211012202047).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 220211012202020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1595200556 + ... + 1595338595.

It is an arithmetic number, because the mean of its divisors is an integer number (6030118997280).

Almost surely, 2220211012202020 is an apocalyptic number.

220211012202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211012202020 is an abundant number, since it is smaller than the sum of its proper divisors (358680411536860).

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

220211012202020 is a wasteful number, since it uses less digits than its factorization.

220211012202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190539213 (or 3190539211 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 220211012202020 its reverse (20202210112022), we get a palindrome (240413222314042).

The spelling of 220211012202020 in words is "two hundred twenty trillion, two hundred eleven billion, twelve million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 29 34 35 58 68 70 85 116 119 140 145 170 203 238 290 340 406 476 493 580 595 812 986 1015 1190 1972 2030 2380 2465 3451 4060 4930 6902 9860 13804 17255 34510 69020 3190539151 6381078302 12762156604 15952695755 22333774057 31905391510 44667548114 54239165567 63810783020 89335096228 92525635379 108478331134 111668870285 185051270758 216956662268 223337740570 271195827835 370102541516 379674158969 446675481140 462628176895 542391655670 647679447653 759348317938 925256353790 1084783311340 1295358895306 1518696635876 1572935801443 1850512707580 1898370794845 2590717790612 3145871602886 3238397238265 3796741589690 6291743205772 6476794476530 7593483179380 7864679007215 11010550610101 12953588953060 15729358014430 22021101220202 31458716028860 44042202440404 55052753050505 110105506101010 220211012202020