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221332120123 = 73132714471579
BaseRepresentation
bin1100111000100001101…
…1000010001000111011
3210011022000102200000111
43032020123002020323
512111242010320443
6245402323245151
721663546660022
oct3161033021073
9704260380014
10221332120123
1185959236844
1236a8b8197b7
1317b43999a6a
14a9d92898b9
155b5612769d
hex33886c223b

221332120123 has 16 divisors (see below), whose sum is σ = 224830612480. Its totient is φ = 217846863936.

The previous prime is 221332120057. The next prime is 221332120127. The reversal of 221332120123 is 321021233122.

It is a cyclic number.

It is not a de Polignac number, because 221332120123 - 29 = 221332119611 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221332120094 and 221332120103.

It is not an unprimeable number, because it can be changed into a prime (221332120127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 140171548 + ... + 140173126.

It is an arithmetic number, because the mean of its divisors is an integer number (14051913280).

Almost surely, 2221332120123 is an apocalyptic number.

221332120123 is a deficient number, since it is larger than the sum of its proper divisors (3498492357).

221332120123 is a wasteful number, since it uses less digits than its factorization.

221332120123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4426.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 221332120123 its reverse (321021233122), we get a palindrome (542353353245).

The spelling of 221332120123 in words is "two hundred twenty-one billion, three hundred thirty-two million, one hundred twenty thousand, one hundred twenty-three".

Divisors: 1 73 1327 1447 1579 96871 105631 115267 1920169 2095333 2284813 140172337 152959309 166791349 3031946851 221332120123