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220121002000020 = 223511641520306817
BaseRepresentation
bin110010000011001011101010…
…001000011011111010010100
31001212101100210002201001100110
4302003023222020123322110
5212322430303003000040
62100054105312243020
764236134426352612
oct6203135210337224
91055340702631313
10220121002000020
116415687a0a49a0
1220830b12240470
1395a94242175a4
143c4dcb02d66b2
151a6acbbd54980
hexc832ea21be94

220121002000020 has 96 divisors (see below), whose sum is σ = 673418545946496. Its totient is φ = 53279417958400.

The previous prime is 220121001999971. The next prime is 220121002000037. The reversal of 220121002000020 is 20000200121022.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 259730349 + ... + 260576468.

It is an arithmetic number, because the mean of its divisors is an integer number (7014776520276).

Almost surely, 2220121002000020 is an apocalyptic number.

220121002000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220121002000020 is an abundant number, since it is smaller than the sum of its proper divisors (453297543946476).

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

220121002000020 is a wasteful number, since it uses less digits than its factorization.

220121002000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520307481 (or 520307479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220121002000020 its reverse (20000200121022), we get a palindrome (240121202121042).

The spelling of 220121002000020 in words is "two hundred twenty trillion, one hundred twenty-one billion, two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 641 660 1282 1923 2564 3205 3846 6410 7051 7692 9615 12820 14102 19230 21153 28204 35255 38460 42306 70510 84612 105765 141020 211530 423060 520306817 1040613634 1560920451 2081227268 2601534085 3121840902 5203068170 5723374987 6243681804 7804602255 10406136340 11446749974 15609204510 17170124961 22893499948 28616874935 31218409020 34340249922 57233749870 68680499844 85850624805 114467499740 171701249610 333516669697 343402499220 667033339394 1000550009091 1334066678788 1667583348485 2001100018182 3335166696970 3668683366667 4002200036364 5002750045455 6670333393940 7337366733334 10005500090910 11006050100001 14674733466668 18343416833335 20011000181820 22012100200002 36686833666670 44024200400004 55030250500005 73373667333340 110060501000010 220121002000020