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221112210000 = 2435411670037
BaseRepresentation
bin1100110111101101010…
…0001001001001010000
3210010201200122002001010
43031323110021021100
512110314211210000
6245324430010520
721655236526443
oct3157324111120
9703650562033
10221112210000
1185856095040
1236a2a046a40
1317b0a261226
14a9b7da365a
155b41b88d50
hex337b509250

221112210000 has 200 divisors, whose sum is σ = 778669920864. Its totient is φ = 53602880000.

The previous prime is 221112209999. The next prime is 221112210019. The reversal of 221112210000 is 12211122.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×2211122100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5019 + ... + 665018.

Almost surely, 2221112210000 is an apocalyptic number.

221112210000 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 221112210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389334960432).

221112210000 is an abundant number, since it is smaller than the sum of its proper divisors (557557710864).

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

221112210000 is a wasteful number, since it uses less digits than its factorization.

221112210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670079 (or 670058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 221112210000 its reverse (12211122), we get a palindrome (221124421122).

The spelling of 221112210000 in words is "two hundred twenty-one billion, one hundred twelve million, two hundred ten thousand".