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11331122013323 = 7217299723920233
BaseRepresentation
bin1010010011100011101110…
…0000001010010010001011
31111010020121101010210100122
42210320323200022102023
52441122114213411243
640033240125253455
72246434523643500
oct244707340122213
944106541123318
1011331122013323
113679557a7a482
121330069a0428b
1364269bc05358
142b2601b514a7
15149b36225668
hexa4e3b80a48b

11331122013323 has 96 divisors (see below), whose sum is σ = 14648315270400. Its totient is φ = 8697898008576.

The previous prime is 11331122013259. The next prime is 11331122013349. The reversal of 11331122013323 is 32331022113311.

It is not a de Polignac number, because 11331122013323 - 26 = 11331122013259 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11331122013292 and 11331122013301.

It is not an unprimeable number, because it can be changed into a prime (11331122013923) 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 95 ways as a sum of consecutive naturals, for example, 560021615 + ... + 560041847.

It is an arithmetic number, because the mean of its divisors is an integer number (152586617400).

Almost surely, 211331122013323 is an apocalyptic number.

11331122013323 is a deficient number, since it is larger than the sum of its proper divisors (3317193257077).

11331122013323 is a wasteful number, since it uses less digits than its factorization.

11331122013323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20629 (or 20622 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 11331122013323 its reverse (32331022113311), we get a palindrome (43662144126634).

The spelling of 11331122013323 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-two million, thirteen thousand, three hundred twenty-three".

Divisors: 1 7 17 29 49 97 119 203 239 493 679 833 1421 1649 1673 2813 3451 4063 4753 6931 11543 11711 19691 20233 23183 24157 28441 47821 48517 80801 117827 137837 141631 162281 199087 334747 339619 343961 394111 586757 672307 824789 991417 1135967 1962601 2343229 2407727 2758777 4107299 4706149 4835687 5773523 9974869 11429219 13738207 16854089 19311439 28751093 32943043 33364217 33849809 56915429 69824083 80004533 82206679 96167449 140234923 233549519 236948663 398408003 469061639 488768581 560031731 575446753 967562293 981644461 1634846633 2383993691 2788856021 3283431473 4028127271 6772936051 6871511227 7974047863 13602787531 16687955837 22984020311 47410552357 55818335041 95219512717 116815690859 231247388027 390728345287 666536589019 1618731716189 11331122013323