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211120122212020 = 225719162148962657
BaseRepresentation
bin110000000000001100111011…
…111000111010111010110100
31000200111212221022102100202101
4300000030323320322322310
5210132443002241241040
62025003124544551444
762316632303456620
oct6000147370727264
91020455838370671
10211120122212020
11612a65a510a04a
121b8185b1922584
1390a5707cb9ca8
143a1c3a8836180
151961abb2e009a
hexc0033be3aeb4

211120122212020 has 96 divisors (see below), whose sum is σ = 533685138174720. Its totient is φ = 68532050350080.

The previous prime is 211120122211939. The next prime is 211120122212099. The reversal of 211120122212020 is 20212221021112.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 20169469 + ... + 28793188.

It is an arithmetic number, because the mean of its divisors is an integer number (5559220189320).

Almost surely, 2211120122212020 is an apocalyptic number.

211120122212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120122212020 is an abundant number, since it is smaller than the sum of its proper divisors (322565015962700).

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

211120122212020 is a wasteful number, since it uses less digits than its factorization.

211120122212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48964313 (or 48964311 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 211120122212020 its reverse (20212221021112), we get a palindrome (231332343233132).

The spelling of 211120122212020 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 1621 2660 3242 6484 8105 11347 16210 22694 30799 32420 45388 56735 61598 113470 123196 153995 215593 226940 307990 431186 615980 862372 1077965 2155930 4311860 48962657 97925314 195850628 244813285 342738599 489626570 685477198 930290483 979253140 1370954396 1713692995 1860580966 3427385990 3721161932 4651452415 6512033381 6854771980 9302904830 13024066762 18605809660 26048133524 32560166905 65120333810 79368466997 130240667620 158736933994 317473867988 396842334985 555579268979 793684669970 1111158537958 1508000872943 1587369339940 2222317075916 2777896344895 3016001745886 5555792689790 6032003491772 7540004364715 10556006110601 11111585379580 15080008729430 21112012221202 30160017458860 42224024442404 52780030553005 105560061106010 211120122212020