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111001222321 = 11312917111593
BaseRepresentation
bin110011101100000110…
…0000011110010110001
3101121111212101100012021
41213120030003302301
53304312303103241
6122554313231441
711006466551653
oct1473014036261
9347455340167
10111001222321
1143091329280
121961a102581
13a60ca74552
14553016c6d3
152d49e6b0d1
hex19d8303cb1

111001222321 has 16 divisors (see below), whose sum is σ = 125042416128. Its totient is φ = 97620681600.

The previous prime is 111001222301. The next prime is 111001222327. The reversal of 111001222321 is 123222100111.

It is a cyclic number.

It is not a de Polignac number, because 111001222321 - 25 = 111001222289 is a prime.

It is a super-3 number, since 3×1110012223213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111001222295 and 111001222304.

It is not an unprimeable number, because it can be changed into a prime (111001222327) 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 15 ways as a sum of consecutive naturals, for example, 938901 + ... + 1050493.

It is an arithmetic number, because the mean of its divisors is an integer number (7815151008).

Almost surely, 2111001222321 is an apocalyptic number.

111001222321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111001222321 is a deficient number, since it is larger than the sum of its proper divisors (14041193807).

111001222321 is a wasteful number, since it uses less digits than its factorization.

111001222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114552.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 111001222321 its reverse (123222100111), we get a palindrome (234223322432).

The spelling of 111001222321 in words is "one hundred eleven billion, one million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 11 31 341 2917 32087 90427 111593 994697 1227523 3459383 38053213 325516781 3580684591 10091020211 111001222321