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212101111121020 = 2251141133717175853
BaseRepresentation
bin110000001110011110100011…
…011000101000010001111100
31000210222200001010010022002221
4300032132203120220101330
5210300031033421333040
62031033523313455124
762450541154560442
oct6016364330502174
91023880033108087
10212101111121020
1161644637843990
121b956748b714a4
139147083733a54
143a53a6a058b92
15197c383a2a74a
hexc0e7a362847c

212101111121020 has 96 divisors (see below), whose sum is σ = 497762242600896. Its totient is φ = 75245523302400.

The previous prime is 212101111121017. The next prime is 212101111121027. The reversal of 212101111121020 is 20121111101212.

It is a junction number, because it is equal to n+sod(n) for n = 212101111120985 and 212101111121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101111121027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206039414 + ... + 1206215266.

It is an arithmetic number, because the mean of its divisors is an integer number (5185023360426).

Almost surely, 2212101111121020 is an apocalyptic number.

212101111121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101111121020 is an abundant number, since it is smaller than the sum of its proper divisors (285661131479876).

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

212101111121020 is a wasteful number, since it uses less digits than its factorization.

212101111121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309631 (or 309629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 212101111121020 its reverse (20121111101212), we get a palindrome (232222222222232).

The spelling of 212101111121020 in words is "two hundred twelve trillion, one hundred one billion, one hundred eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 133717 175853 267434 351706 534868 668585 703412 879265 1337170 1470887 1758530 1934383 2674340 2941774 3517060 3868766 5482397 5883548 7209973 7354435 7737532 9671915 10964794 14419946 14708870 19343830 21929588 27411985 28839892 29417740 36049865 38687660 54823970 60306367 72099730 79309703 109647940 120612734 144199460 158619406 241225468 301531835 317238812 396548515 603063670 793097030 1206127340 1586194060 23514535601 47029071202 94058142404 117572678005 235145356010 258659891611 470290712020 517319783222 964095959641 1034639566444 1293299458055 1928191919282 2586598916110 3856383838564 4820479798205 5173197832220 9640959596410 10605055556051 19281919192820 21210111112102 42420222224204 53025277780255 106050555560510 212101111121020