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13222201113009 = 3272311523184333
BaseRepresentation
bin1100000001101000100010…
…0110011011100110110001
31201211000210221002121102200
43000122020212123212301
53213113031441104014
644042110105333413
72533162320035400
oct300321046334661
951730727077380
1013222201113009
11423855a90a779
121596674497269
1374bb046b3345
14339d5a879637
1517de16c13a09
hexc068899b9b1

13222201113009 has 72 divisors (see below), whose sum is σ = 22331070171072. Its totient is φ = 7516808268480.

The previous prime is 13222201112999. The next prime is 13222201113013. The reversal of 13222201113009 is 90031110222231.

13222201113009 is a `hidden beast` number, since 1 + 3 + 22 + 220 + 111 + 300 + 9 = 666.

It is not a de Polignac number, because 13222201113009 - 211 = 13222201110961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13222201113109) 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 71 ways as a sum of consecutive naturals, for example, 71637807 + ... + 71822139.

It is an arithmetic number, because the mean of its divisors is an integer number (310153752376).

Almost surely, 213222201113009 is an apocalyptic number.

It is an amenable number.

13222201113009 is a deficient number, since it is larger than the sum of its proper divisors (9108869058063).

13222201113009 is a wasteful number, since it uses less digits than its factorization.

13222201113009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185187 (or 185177 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 13222201113009 in words is "thirteen trillion, two hundred twenty-two billion, two hundred one million, one hundred thirteen thousand, nine".

Divisors: 1 3 7 9 21 49 63 147 311 441 523 933 1569 2177 2799 3661 4707 6531 10983 15239 19593 25627 32949 45717 76881 137151 162653 184333 230643 487959 552999 1138571 1290331 1463877 1658997 3415713 3870993 7969997 9032317 10247139 11612979 23909991 27096951 57327563 71729973 81290853 96406159 171982689 289218477 401292941 515948067 674843113 867655431 1203878823 2024529339 2809050587 3611636469 4723901791 6073588017 8427151761 14171705373 25281455283 29982315449 42515116119 89946946347 209876208143 269840839041 629628624429 1469133457001 1888885873287 4407400371003 13222201113009