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1122003113231 = 721113413905513
BaseRepresentation
bin10000010100111100100…
…110001101010100001111
310222021002022210201202102
4100110330212031110033
5121340330244110411
62215235140345315
7144030166050500
oct20247446152417
93867068721672
101122003113231
113a29255636a0
121615506a523b
1381a5c47a2c0
143c43b818ba7
151e2bc4e6d3b
hex1053c98d50f

1122003113231 has 48 divisors (see below), whose sum is σ = 1570766486688. Its totient is φ = 787351219200.

The previous prime is 1122003113213. The next prime is 1122003113237. The reversal of 1122003113231 is 1323113002211.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1122003113231 is a prime.

It is a super-2 number, since 2×11220031132312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122003113237) 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 47 ways as a sum of consecutive naturals, for example, 1665470 + ... + 2240043.

It is an arithmetic number, because the mean of its divisors is an integer number (32724301806).

Almost surely, 21122003113231 is an apocalyptic number.

1122003113231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1122003113231 is a deficient number, since it is larger than the sum of its proper divisors (448763373457).

1122003113231 is a wasteful number, since it uses less digits than its factorization.

1122003113231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905592 (or 3905585 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1122003113231 its reverse (1323113002211), we get a palindrome (2445116115442).

The spelling of 1122003113231 in words is "one trillion, one hundred twenty-two billion, three million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 7 11 13 41 49 77 91 143 287 451 533 539 637 1001 2009 3157 3731 5863 7007 22099 26117 41041 287287 3905513 27338591 42960643 50771669 160126033 191370137 300724501 355401683 558488359 1120882231 1761386363 2081638429 2105071507 2487811781 3909418513 7846175617 12329704541 14571469003 22898022719 27365929591 86307931787 102000283021 160286159033 1122003113231