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211013222322006 = 232137911414758321
BaseRepresentation
bin101111111110101001011000…
…001010001100111101010110
31000200010200000021102021210200
4233332221120022030331112
5210124220034403301011
62024442045221201330
762306126234422656
oct5776513012147526
91020120007367720
10211013222322006
1161265228996505
121b7bb939260246
1390985ccb561c0
143a17147278366
15195de11463856
hexbfea5828cf56

211013222322006 has 48 divisors (see below), whose sum is σ = 498596643504960. Its totient is φ = 64105282725120.

The previous prime is 211013222321933. The next prime is 211013222322041. The reversal of 211013222322006 is 600223222310112.

211013222322006 is a `hidden beast` number, since 2 + 1 + 10 + 1 + 322 + 2 + 322 + 0 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5707360675 + ... + 5707397646.

It is an arithmetic number, because the mean of its divisors is an integer number (10387430073020).

Almost surely, 2211013222322006 is an apocalyptic number.

211013222322006 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

211013222322006 is an abundant number, since it is smaller than the sum of its proper divisors (287583421182954).

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

211013222322006 is a wasteful number, since it uses less digits than its factorization.

211013222322006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11414758421 (or 11414758418 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 211013222322006 its reverse (600223222310112), we get a palindrome (811236444632118).

The spelling of 211013222322006 in words is "two hundred eleven trillion, thirteen billion, two hundred twenty-two million, three hundred twenty-two thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 78 79 117 158 234 237 474 711 1027 1422 2054 3081 6162 9243 18486 11414758321 22829516642 34244274963 68488549926 102732824889 148391858173 205465649778 296783716346 445175574519 890351149038 901765907359 1335526723557 1803531814718 2671053447114 2705297722077 5410595444154 8115893166231 11722956795667 16231786332462 23445913591334 35168870387001 70337740774002 105506611161003 211013222322006