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20111222210200 = 235211367187113313
BaseRepresentation
bin1001001001010100000100…
…10000010111111010011000
32122012121120122200012020021
410210222002100113322120
510114000240341211300
6110434545024040224
74143662556143242
oct444520220277230
978177518605207
1020111222210200
116454137703820
122309833763074
13b2b631a80534
144d75618b3092
1524d214404d1a
hex124a82417e98

20111222210200 has 192 divisors, whose sum is σ = 51179544299520. Its totient is φ = 7288799232000.

The previous prime is 20111222210173. The next prime is 20111222210207. The reversal of 20111222210200 is 201222211102.

It is a happy number.

It is a super-2 number, since 2×201112222102002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111222210207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1510638744 + ... + 1510652056.

It is an arithmetic number, because the mean of its divisors is an integer number (266560126560).

Almost surely, 220111222210200 is an apocalyptic number.

20111222210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111222210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25589772149760).

20111222210200 is an abundant number, since it is smaller than the sum of its proper divisors (31068322089320).

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

20111222210200 is a wasteful number, since it uses less digits than its factorization.

20111222210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15578 (or 15569 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20111222210200 its reverse (201222211102), we get a palindrome (20312444421302).

The spelling of 20111222210200 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-two million, two hundred ten thousand, two hundred".