Search a number
-
+
21220222102112 = 2511193172880099
BaseRepresentation
bin1001101001100101101111…
…10011001110101001100000
32210010122002202121211201002
410310302313303032221200
510240133003324231422
6113044234020331132
74320052612531565
oct464626763165140
983118082554632
1021220222102112
11684149a191810
122468755543aa8
13bac09b29b827
145350c836486c
1526bec0060692
hex134cb7ccea60

21220222102112 has 48 divisors (see below), whose sum is σ = 47973947112000. Its totient is φ = 9137894682240.

The previous prime is 21220222102111. The next prime is 21220222102117. The reversal of 21220222102112 is 21120122202212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220222102111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1586433362 + ... + 1586446737.

It is an arithmetic number, because the mean of its divisors is an integer number (999457231500).

Almost surely, 221220222102112 is an apocalyptic number.

21220222102112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21220222102112 is an abundant number, since it is smaller than the sum of its proper divisors (26753725009888).

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

21220222102112 is a wasteful number, since it uses less digits than its factorization.

21220222102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172880139 (or 3172880131 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 21220222102112 its reverse (21120122202212), we get a palindrome (42340344304324).

The spelling of 21220222102112 in words is "twenty-one trillion, two hundred twenty billion, two hundred twenty-two million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 3172880099 6345760198 12691520396 25383040792 34901681089 50766081584 60284721881 69803362178 101532163168 120569443762 139606724356 241138887524 279213448712 482277775048 558426897424 663131940691 964555550096 1116853794848 1326263881382 1929111100192 2652527762764 5305055525528 10610111051056 21220222102112