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2112110012220 = 2235132641324953
BaseRepresentation
bin11110101111000011100…
…100010010011100111100
321110220201120121112221220
4132233003210102130330
5234101100130342340
64254142343353340
7305411024612445
oct36570344223474
97426646545856
102112110012220
1174481704834a
122a1411452850
1312422bc46400
1474325da82cc
1539e1a468ed0
hex1ebc391273c

2112110012220 has 144 divisors (see below), whose sum is σ = 6413827668192. Its totient is φ = 519091322880.

The previous prime is 2112110012189. The next prime is 2112110012261. The reversal of 2112110012220 is 222100112112.

It is a super-2 number, since 2×21121100122202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112110012220.

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, 6337264 + ... + 6662216.

It is an arithmetic number, because the mean of its divisors is an integer number (44540469918).

Almost surely, 22112110012220 is an apocalyptic number.

2112110012220 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 2112110012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206913834096).

2112110012220 is an abundant number, since it is smaller than the sum of its proper divisors (4301717655972).

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

2112110012220 is a wasteful number, since it uses less digits than its factorization.

2112110012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325632 (or 325617 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2112110012220 its reverse (222100112112), we get a palindrome (2334210124332).

The spelling of 2112110012220 in words is "two trillion, one hundred twelve billion, one hundred ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 641 676 780 845 1014 1282 1690 1923 2028 2535 2564 3205 3380 3846 5070 6410 7692 8333 9615 10140 12820 16666 19230 24999 33332 38460 41665 49998 83330 99996 108329 124995 166660 216658 249990 324953 324987 433316 499980 541645 649906 649974 974859 1083290 1299812 1299948 1624765 1624935 1949718 2166580 3249530 3249870 3899436 4224389 4874295 6499060 6499740 8448778 9748590 12673167 16897556 19497180 21121945 25346334 42243890 50692668 54917057 63365835 84487780 109834114 126731670 164751171 208294873 219668228 253463340 274585285 329502342 416589746 549170570 624884619 659004684 823755855 833179492 1041474365 1098341140 1249769238 1647511710 2082948730 2499538476 2707833349 3124423095 3295023420 4165897460 5415666698 6248846190 8123500047 10831333396 12497692380 13539166745 16247000094 27078333490 32494000188 35201833537 40617500235 54156666980 70403667074 81235000470 105605500611 140807334148 162470000940 176009167685 211211001222 352018335370 422422002444 528027503055 704036670740 1056055006110 2112110012220