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221112011212020 = 223254159119506791
BaseRepresentation
bin110010010001100110100110…
…111000100100010011110100
31001222220002202020101010022100
4302101212212320210103310
5212440144344332241040
62102133242231102100
764400546522566005
oct6221464670442364
91058802666333270
10221112011212020
11644a9093a50785
1220970ba5211930
13964ba08909b16
143c85c426451ac
151a8696e10db30
hexc919a6e244f4

221112011212020 has 144 divisors (see below), whose sum is σ = 687078104993280. Its totient is φ = 57523989542400.

The previous prime is 221112011212013. The next prime is 221112011212123. The reversal of 221112011212020 is 20212110211122.

221112011212020 is a `hidden beast` number, since 221 + 1 + 120 + 1 + 121 + 202 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221112011211984 and 221112011212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436044825 + ... + 436551615.

It is an arithmetic number, because the mean of its divisors is an integer number (4771375729120).

Almost surely, 2221112011212020 is an apocalyptic number.

221112011212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221112011212020 is an abundant number, since it is smaller than the sum of its proper divisors (465966093781260).

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

221112011212020 is a wasteful number, since it uses less digits than its factorization.

221112011212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565966 (or 565961 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221112011212020 its reverse (20212110211122), we get a palindrome (241324121423142).

The spelling of 221112011212020 in words is "two hundred twenty-one trillion, one hundred twelve billion, eleven million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 59119 118238 177357 236476 295595 354714 506791 532071 591190 709428 886785 1013582 1064142 1182380 1520373 1773570 2027164 2128284 2423879 2533955 2660355 3040746 3547140 4561119 4847758 5067910 5320710 6081492 7271637 7601865 9122238 9695516 10135820 10641420 12119395 14543274 15203730 18244476 20778431 21814911 22805595 24238790 29086548 30407460 36358185 41556862 43629822 45611190 48477580 62335293 72716370 83113724 87259644 91222380 103892155 109074555 124670586 145432740 187005879 207784310 218149110 249341172 311676465 374011758 415568620 436298220 623352930 748023516 935029395 1246705860 1870058790 3740117580 29960977129 59921954258 89882931387 119843908516 149804885645 179765862774 269648794161 299609771290 359531725548 449414656935 539297588322 599219542580 898829313870 1078595176644 1228400062289 1348243970805 1797658627740 2456800124578 2696487941610 3685200186867 4913600249156 5392975883220 6142000311445 7370400373734 11055600560601 12284000622890 14740800747468 18426000934335 22111201121202 24568001245780 36852001868670 44222402242404 55278002803005 73704003737340 110556005606010 221112011212020