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211110012220020 = 223547101517374811
BaseRepresentation
bin110000000000000011100001…
…010010010111001001110100
31000200110220211201200112222020
4300000003201102113021310
5210132311301112020040
62024554333432433140
762316123622115364
oct6000034122271164
91020426751615866
10211110012220020
11612a22872a9461
121b81664bb487b0
1390a478659acc4
143a1bac9c409a4
1519616c8956cd0
hexc000e1497274

211110012220020 has 96 divisors (see below), whose sum is σ = 603744353243136. Its totient is φ = 55092780624000.

The previous prime is 211110012219943. The next prime is 211110012220043. The reversal of 211110012220020 is 20022210011112.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24938415 + ... + 32313225.

It is an arithmetic number, because the mean of its divisors is an integer number (6289003679616).

Almost surely, 2211110012220020 is an apocalyptic number.

211110012220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211110012220020 is an abundant number, since it is smaller than the sum of its proper divisors (392634341023116).

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

211110012220020 is a wasteful number, since it uses less digits than its factorization.

211110012220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385021 (or 7385019 counting only the distinct ones).

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

Adding to 211110012220020 its reverse (20022210011112), we get a palindrome (231132222231132).

The spelling of 211110012220020 in words is "two hundred eleven trillion, one hundred ten billion, twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 10151 20302 30453 40604 50755 60906 101510 121812 152265 203020 304530 477097 609060 954194 1431291 1908388 2385485 2862582 4770970 5725164 7156455 7374811 9541940 14312910 14749622 22124433 28625820 29499244 36874055 44248866 73748110 88497732 110622165 147496220 221244330 346616117 442488660 693232234 1039848351 1386464468 1733080585 2079696702 3466161170 4159393404 5199241755 6932322340 10398483510 20796967020 74861706461 149723412922 224585119383 299446825844 374308532305 449170238766 748617064610 898340477532 1122925596915 1497234129220 2245851193830 3518500203667 4491702387660 7037000407334 10555500611001 14074000814668 17592501018335 21111001222002 35185002036670 42222002444004 52777503055005 70370004073340 105555006110010 211110012220020