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221214232141110 = 233513673343281381
BaseRepresentation
bin110010010011000101110011…
…101110011101110100110110
31002000020212121012002100112000
4302103011303232131310312
5212443333221412003420
62102252225412240130
764411125615262305
oct6223056356356466
91060225535070460
10221214232141110
116453847a00076a
1220988972910046
139658549598190
143c8ab7c63043c
151a894532eb690
hexc93173b9dd36

221214232141110 has 256 divisors, whose sum is σ = 644958878699520. Its totient is φ = 53623770647040.

The previous prime is 221214232141013. The next prime is 221214232141127. The reversal of 221214232141110 is 11141232412122.

221214232141110 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 1 + 4 + 232 + 1 + 411 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 786032620 + ... + 786314000.

It is an arithmetic number, because the mean of its divisors is an integer number (2519370619920).

Almost surely, 2221214232141110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221214232141110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322479439349760).

221214232141110 is an abundant number, since it is smaller than the sum of its proper divisors (423744646558410).

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

221214232141110 is a wasteful number, since it uses less digits than its factorization.

221214232141110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284820 (or 284814 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 221214232141110 its reverse (11141232412122), we get a palindrome (232355464553232).

The spelling of 221214232141110 in words is "two hundred twenty-one trillion, two hundred fourteen billion, two hundred thirty-two million, one hundred forty-one thousand, one hundred ten".