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21220211110212 = 223237971075314437
BaseRepresentation
bin1001101001100101101110…
…01001010011000101000100
32210010122001222221101122200
410310302313021103011010
510240132443021011322
6113044232544554500
74320052420231332
oct464626711230504
983118058841580
1021220211110212
116841493a643a4
122468751922a30
13bac098c2064a
145350c6b02b52
1526bebe0dd8ac
hex134cb7253144

21220211110212 has 72 divisors (see below), whose sum is σ = 53662811483736. Its totient is φ = 7070393401344.

The previous prime is 21220211110181. The next prime is 21220211110249. The reversal of 21220211110212 is 21201111202212.

21220211110212 is a `hidden beast` number, since 21 + 220 + 211 + 1 + 1 + 0 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2279906724096 + 18940304386116 = 1509936^2 + 4352046^2 .

It is a super-2 number, since 2×212202111102122 (a number of 27 digits) contains 22 as substring.

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

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, 1469841858 + ... + 1469856294.

It is an arithmetic number, because the mean of its divisors is an integer number (745316826163).

Almost surely, 221220211110212 is an apocalyptic number.

It is an amenable number.

21220211110212 is an abundant number, since it is smaller than the sum of its proper divisors (32442600373524).

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

21220211110212 is a wasteful number, since it uses less digits than its factorization.

21220211110212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28997 (or 28992 counting only the distinct ones).

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

Adding to 21220211110212 its reverse (21201111202212), we get a palindrome (42421322312424).

The spelling of 21220211110212 in words is "twenty-one trillion, two hundred twenty billion, two hundred eleven million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3797 7594 10753 11391 14437 15188 21506 22782 28874 32259 34173 43012 43311 45564 57748 64518 68346 86622 96777 129036 129933 136692 173244 193554 259866 387108 519732 40829141 54817289 81658282 109634578 122487423 155241061 163316564 164451867 219269156 244974846 310482122 328903734 367462269 465723183 489949692 493355601 620964244 657807468 734924538 931446366 986711202 1397169549 1469849076 1862892732 1973422404 2794339098 5588678196 589450308617 1178900617234 1768350925851 2357801234468 3536701851702 5305052777553 7073403703404 10610105555106 21220211110212