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220101220020020 = 225232932052179579
BaseRepresentation
bin110010000010111001001111…
…000010001010111100110100
31001212022110201110102100022112
4302002321033002022330310
5212322114244311120040
62100041034331550152
764234534262324543
oct6202711702127464
91055273643370275
10220101220020020
1164149448746599
12208291112bb358
1395a75c0a66091
143c4cd54d6415a
151a6a510302365
hexc82e4f08af34

220101220020020 has 96 divisors (see below), whose sum is σ = 483984530507520. Its totient is φ = 83920081259520.

The previous prime is 220101220020007. The next prime is 220101220020053. The reversal of 220101220020020 is 20020022101022.

It is a junction number, because it is equal to n+sod(n) for n = 220101220019977 and 220101220020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2765780591 + ... + 2765860169.

It is an arithmetic number, because the mean of its divisors is an integer number (5041505526120).

Almost surely, 2220101220020020 is an apocalyptic number.

220101220020020 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 220101220020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241992265253760).

220101220020020 is an abundant number, since it is smaller than the sum of its proper divisors (263883310487500).

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

220101220020020 is a wasteful number, since it uses less digits than its factorization.

220101220020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100425 (or 100423 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 220101220020020 its reverse (20020022101022), we get a palindrome (240121242121042).

The spelling of 220101220020020 in words is "two hundred twenty trillion, one hundred one billion, two hundred twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 293 460 586 1172 1465 2930 5860 6739 13478 20521 26956 33695 41042 67390 79579 82084 102605 134780 159158 205210 318316 397895 410420 471983 795790 943966 1591580 1830317 1887932 2359915 3660634 4719830 6012653 7321268 9151585 9439660 12025306 18303170 23316647 24050612 30063265 36606340 46633294 60126530 93266588 116583235 120253060 138291019 233166470 276582038 466332940 536282881 553164076 691455095 1072565762 1382910190 1633040659 2145131524 2681414405 2765820380 3266081318 5362828810 6532162636 8165203295 10725657620 16330406590 32660813180 37559935157 75119870314 150239740628 187799675785 375599351570 478480913087 751198703140 956961826174 1913923652348 2392404565435 4784809130870 9569618261740 11005061001001 22010122002002 44020244004004 55025305005005 110050610010010 220101220020020