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11122055332133 = 172708332415653
BaseRepresentation
bin1010000111011000111000…
…1010000100000100100101
31110101020222011021222110012
42201312032022010010211
52424210432131112013
635353222432540005
72225353620323564
oct241661612040445
943336864258405
1011122055332133
1135a8923313529
1212b76419b1605
13628a61389b85
142a644b85bbdb
1514449bd021a8
hexa1d8e284125

11122055332133 has 8 divisors (see below), whose sum is σ = 11776342237848. Its totient is φ = 10467773799424.

The previous prime is 11122055332121. The next prime is 11122055332139. The reversal of 11122055332133 is 33123355022111.

It can be written as a sum of positive squares in 4 ways, for example, as 8530412551969 + 2591642780164 = 2920687^2 + 1609858^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11122055332133 - 210 = 11122055331109 is a prime.

It is a super-2 number, since 2×111220553321332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11122055332133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122055332139) 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 7 ways as a sum of consecutive naturals, for example, 3396335 + ... + 5811987.

It is an arithmetic number, because the mean of its divisors is an integer number (1472042779731).

Almost surely, 211122055332133 is an apocalyptic number.

It is an amenable number.

11122055332133 is a deficient number, since it is larger than the sum of its proper divisors (654286905715).

11122055332133 is a wasteful number, since it uses less digits than its factorization.

11122055332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686503.

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 11122055332133 in words is "eleven trillion, one hundred twenty-two billion, fifty-five million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 17 270833 2415653 4604161 41066101 654238548949 11122055332133