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211111120000110 = 235112011318115697
BaseRepresentation
bin110000000000000100100011…
…010100001101010001101110
31000200111000200221011121120110
4300000010203110031101232
5210132321033210000420
62024555035404200450
762316163233104061
oct6000044324152156
91020430627147513
10211111120000110
11612a27a5647aa0
121b8168bab39126
1390a4901c43c95
143a1bb930068d8
151961740d27ee0
hexc0012350d46e

211111120000110 has 64 divisors (see below), whose sum is σ = 553002149700864. Its totient is φ = 51153003916800.

The previous prime is 211111120000063. The next prime is 211111120000133. The reversal of 211111120000110 is 11000021111112.

It is a Curzon number.

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, 158394219 + ... + 159721478.

It is an arithmetic number, because the mean of its divisors is an integer number (8640658589076).

Almost surely, 2211111120000110 is an apocalyptic number.

211111120000110 is an abundant number, since it is smaller than the sum of its proper divisors (341891029700754).

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

211111120000110 is a wasteful number, since it uses less digits than its factorization.

211111120000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318117729.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211111120000110 its reverse (11000021111112), we get a palindrome (222111141111222).

The spelling of 211111120000110 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred twenty million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 2011 4022 6033 10055 12066 20110 22121 30165 44242 60330 66363 110605 132726 221210 331815 663630 318115697 636231394 954347091 1590578485 1908694182 3181156970 3499272667 4771735455 6998545334 9543470910 10497818001 17496363335 20995636002 34992726670 52489090005 104978180010 639730666667 1279461333334 1919192000001 3198653333335 3838384000002 6397306666670 7037037333337 9595960000005 14074074666674 19191920000010 21111112000011 35185186666685 42222224000022 70370373333370 105555560000055 211111120000110