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11321221323133 = 2931791373116101
BaseRepresentation
bin1010010010111110110101…
…1000000001100101111101
31111002022001101020121200101
42210233231120001211331
52440441330124320013
640024521451201101
72245634263320511
oct244575530014575
944068041217611
1011321221323133
113675337325397
12132a166146191
136417819794a7
142b1d42c80141
15149756e328dd
hexa4bed60197d

11321221323133 has 32 divisors (see below), whose sum is σ = 12251454566400. Its totient is φ = 10436628384000.

The previous prime is 11321221323121. The next prime is 11321221323193. The reversal of 11321221323133 is 33132312212311.

It is a cyclic number.

It is not a de Polignac number, because 11321221323133 - 25 = 11321221323101 is a prime.

It is a super-2 number, since 2×113212213231332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11321221323103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97453783 + ... + 97569883.

It is an arithmetic number, because the mean of its divisors is an integer number (382857955200).

Almost surely, 211321221323133 is an apocalyptic number.

It is an amenable number.

11321221323133 is a deficient number, since it is larger than the sum of its proper divisors (930233243267).

11321221323133 is a wasteful number, since it uses less digits than its factorization.

11321221323133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117613.

The product of its digits is 3888, while the sum is 28.

Adding to 11321221323133 its reverse (33132312212311), we get a palindrome (44453533535444).

The spelling of 11321221323133 in words is "eleven trillion, three hundred twenty-one billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 29 31 79 899 1373 2291 2449 39817 42563 71021 108467 116101 1234327 3145543 3362477 3366929 3599131 9171979 97511833 104374799 159406673 265987391 284331349 4622793517 4941606863 8245609121 12593127167 143306599027 365200687843 390386942177 11321221323133