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11312221333221 = 32107127136167961
BaseRepresentation
bin1010010010011101010011…
…1011110010011011100101
31111001102211011011202111200
42210213110323302123211
52440314412130130341
640020432430153113
72245165250551044
oct244472473623345
944042734152450
1011312221333221
1136715390407a6
121328474052799
13640979200983
142b172b86c55b
151493cbc58db6
hexa49d4ef26e5

11312221333221 has 48 divisors (see below), whose sum is σ = 16634905417728. Its totient is φ = 7406617881600.

The previous prime is 11312221333199. The next prime is 11312221333241. The reversal of 11312221333221 is 12233312221311.

11312221333221 is a `hidden beast` number, since 1 + 1 + 3 + 122 + 213 + 3 + 322 + 1 = 666.

It is not a de Polignac number, because 11312221333221 - 27 = 11312221333093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312221333241) 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, 166417681 + ... + 166485641.

It is an arithmetic number, because the mean of its divisors is an integer number (346560529536).

Almost surely, 211312221333221 is an apocalyptic number.

It is an amenable number.

11312221333221 is a deficient number, since it is larger than the sum of its proper divisors (5322684084507).

11312221333221 is a wasteful number, since it uses less digits than its factorization.

11312221333221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69562 (or 69559 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 11312221333221 its reverse (12233312221311), we get a palindrome (23545533554532).

The spelling of 11312221333221 in words is "eleven trillion, three hundred twelve billion, two hundred twenty-one million, three hundred thirty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 107 127 321 381 963 1143 1361 4083 12249 13589 40767 67961 122301 145627 172847 203883 436881 518541 611649 1310643 1555623 7271827 8631047 18494629 21815481 25893141 55483887 65446443 77679423 92494921 166451661 277484763 832454289 923522029 2770566087 8311698261 9896956547 11746854967 29690869641 35240564901 89072608923 105721694703 1256913481469 3770740444407 11312221333221