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11442233224411 = 1129293122420033
BaseRepresentation
bin1010011010000001101000…
…1111110010110011011011
31111111212101220111010202221
42212200122033302303123
52444432143201140121
640200253412204511
72260450130442433
oct246403217626333
944455356433687
1011442233224411
1137116953a1960
1213496b8909737
1364ccc86a9ac2
142b7b427512c3
1514c98ab6ab41
hexa681a3f2cdb

11442233224411 has 16 divisors (see below), whose sum is σ = 12956936398560. Its totient is φ = 10009061816320.

The previous prime is 11442233224363. The next prime is 11442233224493.

11442233224411 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11442233224411 - 29 = 11442233223899 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11442233225411) 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 15 ways as a sum of consecutive naturals, for example, 61116550 + ... + 61303483.

It is an arithmetic number, because the mean of its divisors is an integer number (809808524910).

Almost surely, 211442233224411 is an apocalyptic number.

11442233224411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11442233224411 is a deficient number, since it is larger than the sum of its proper divisors (1514703174149).

11442233224411 is a wasteful number, since it uses less digits than its factorization.

11442233224411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122420366.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 1144223 and 3224411, that added together give a palindrome (4368634).

The spelling of 11442233224411 in words is "eleven trillion, four hundred forty-two billion, two hundred thirty-three million, two hundred twenty-four thousand, four hundred eleven".

Divisors: 1 11 29 293 319 3223 8497 93467 122420033 1346620363 3550180957 35869069669 39051990527 394559766359 1040203020401 11442233224411