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211012220111022 = 232117523141661343
BaseRepresentation
bin101111111110101000011100…
…011011000100100010101110
31000200010120102102120200210100
4233332220130123010202232
5210124211011322023042
62024441401540251530
762306062344653031
oct5776503433044256
91020116372520710
10211012220111022
11612648641a2570
121b7bb6b96a0ba6
1390984a0323855
143a17090113018
15195dda349724c
hexbfea1c6c48ae

211012220111022 has 48 divisors (see below), whose sum is σ = 498822457655808. Its totient is φ = 63934596871440.

The previous prime is 211012220110949. The next prime is 211012220111093. The reversal of 211012220111022 is 220111022210112.

211012220111022 is a `hidden beast` number, since 211 + 0 + 122 + 201 + 110 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211012220110986 and 211012220111004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69341118 + ... + 72320225.

It is an arithmetic number, because the mean of its divisors is an integer number (10392134534496).

Almost surely, 2211012220111022 is an apocalyptic number.

211012220111022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211012220111022 is an abundant number, since it is smaller than the sum of its proper divisors (287810237544786).

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

211012220111022 is a wasteful number, since it uses less digits than its factorization.

211012220111022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141668885 (or 141668882 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211012220111022 its reverse (220111022210112), we get a palindrome (431123242321134).

The spelling of 211012220111022 in words is "two hundred eleven trillion, twelve billion, two hundred twenty million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 7523 15046 22569 45138 67707 82753 135414 165506 248259 496518 744777 1489554 141661343 283322686 424984029 849968058 1274952087 1558274773 2549904174 3116549546 4674824319 9349648638 14024472957 28048945914 1065718283389 2131436566778 3197154850167 6394309700334 9591464550501 11722901117279 19182929101002 23445802234558 35168703351837 70337406703674 105506110055511 211012220111022