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211123331101020 = 223513871493105841
BaseRepresentation
bin110000000000001111111011…
…001001110111000101011100
31000200112012012221111210221010
4300000033323021313011130
5210133021040230213040
62025004415214335220
762320104646541262
oct6000177311670534
91020465187453833
10211123331101020
11612a79a1483928
121b8191484ba510
1390a5ac9a4b790
143a1c5d0a96432
151961c07d96e80
hexc003fb27715c

211123331101020 has 96 divisors (see below), whose sum is σ = 636625554465600. Its totient is φ = 51968206909440.

The previous prime is 211123331101019. The next prime is 211123331101043. The reversal of 211123331101020 is 20101133321112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66423300 + ... + 69529140.

It is an arithmetic number, because the mean of its divisors is an integer number (6631516192350).

Almost surely, 2211123331101020 is an apocalyptic number.

211123331101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211123331101020 is an abundant number, since it is smaller than the sum of its proper divisors (425502223364580).

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

211123331101020 is a wasteful number, since it uses less digits than its factorization.

211123331101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193015 (or 3193013 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 211123331101020 its reverse (20101133321112), we get a palindrome (231224464422132).

The spelling of 211123331101020 in words is "two hundred eleven trillion, one hundred twenty-three billion, three hundred thirty-one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 87149 174298 261447 348596 435745 522894 871490 1045788 1132937 1307235 1742980 2265874 2614470 3105841 3398811 4531748 5228940 5664685 6211682 6797622 9317523 11329370 12423364 13595244 15529205 16994055 18635046 22658740 31058410 33988110 37270092 40375933 46587615 62116820 67976220 80751866 93175230 121127799 161503732 186350460 201879665 242255598 403759330 484511196 605638995 807518660 1211277990 2422555980 270670937309 541341874618 812012811927 1082683749236 1353354686545 1624025623854 2706709373090 3248051247708 3518722185017 4060064059635 5413418746180 7037444370034 8120128119270 10556166555051 14074888740068 16240256238540 17593610925085 21112333110102 35187221850170 42224666220204 52780832775255 70374443700340 105561665550510 211123331101020