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221244412311 = 33132011731333
BaseRepresentation
bin1100111000001100110…
…0011101000110010111
3210011001220101122112000
43032003030131012113
512111102032143221
6245345511330343
721661433322066
oct3160314350627
9704056348460
10221244412311
118591378064a
1236a663809b3
1317b2b76b250
14a9cb7781dd
155b4d59ee26
hex338331d197

221244412311 has 32 divisors (see below), whose sum is σ = 353011350720. Its totient is φ = 136139294592.

The previous prime is 221244412273. The next prime is 221244412321. The reversal of 221244412311 is 113214442122.

221244412311 is a `hidden beast` number, since 2 + 2 + 1 + 244 + 412 + 3 + 1 + 1 = 666.

221244412311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221244412311 - 29 = 221244411799 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221244412321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7045401 + ... + 7076733.

It is an arithmetic number, because the mean of its divisors is an integer number (11031604710).

Almost surely, 2221244412311 is an apocalyptic number.

221244412311 is a deficient number, since it is larger than the sum of its proper divisors (131766938409).

221244412311 is a wasteful number, since it uses less digits than its factorization.

221244412311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51472 (or 51466 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 221244412311 its reverse (113214442122), we get a palindrome (334458854433).

The spelling of 221244412311 in words is "two hundred twenty-one billion, two hundred forty-four million, four hundred twelve thousand, three hundred eleven".

Divisors: 1 3 9 13 27 39 117 351 20117 31333 60351 93999 181053 261521 281997 407329 543159 784563 845991 1221987 2353689 3665961 7061067 10997883 630325961 1890977883 5672933649 8194237493 17018800947 24582712479 73748137437 221244412311