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21220220111112 = 233211146691826519
BaseRepresentation
bin1001101001100101101111…
…01011101000100100001000
32210010122002121212200120100
410310302313223220210020
510240133002322023422
6113044233505525400
74320052556600121
oct464626753504410
983118077780510
1021220220111112
116841499051960
122468754943860
13bac09aa52519
145350c7da7048
1526bebecba7ac
hex134cb7ae8908

21220220111112 has 96 divisors (see below), whose sum is σ = 62700413256000. Its totient is φ = 6429927845760.

The previous prime is 21220220111107. The next prime is 21220220111113. The reversal of 21220220111112 is 21111102202212.

21220220111112 is a `hidden beast` number, since 2 + 1 + 220 + 220 + 111 + 112 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21220220111113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10704589 + ... + 12531107.

It is an arithmetic number, because the mean of its divisors is an integer number (653129304750).

Almost surely, 221220220111112 is an apocalyptic number.

21220220111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21220220111112 is an abundant number, since it is smaller than the sum of its proper divisors (41480193144888).

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

21220220111112 is a wasteful number, since it uses less digits than its factorization.

21220220111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841211 (or 1841204 counting only the distinct ones).

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

Adding to 21220220111112 its reverse (21111102202212), we get a palindrome (42331322313324).

Subtracting from 21220220111112 its reverse (21111102202212), we obtain a square (109117908900 = 3303302).

The spelling of 21220220111112 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 14669 29338 44007 58676 88014 117352 132021 161359 176028 264042 322718 352056 484077 528084 645436 968154 1056168 1290872 1452231 1826519 1936308 2904462 3653038 3872616 5479557 5808924 7306076 10959114 11617848 14612152 16438671 20091709 21918228 32877342 40183418 43836456 60275127 65754684 80366836 120550254 131509368 160733672 180825381 241100508 361650762 482201016 723301524 1446603048 26793207211 53586414422 80379621633 107172828844 160759243266 214345657688 241138864899 294725279321 321518486532 482277729798 589450558642 643036973064 884175837963 964555459596 1178901117284 1768351675926 1929110919192 2357802234568 2652527513889 3536703351852 5305055027778 7073406703704 10610110055556 21220220111112