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111122211424 = 2571729181253
BaseRepresentation
bin110011101111101100…
…1100110001001100000
3101121211022001020001011
41213133121212021200
53310034241231144
6123014314350304
711012466132610
oct1473731461140
9347738036034
10111122211424
1143143656174
121965272b394
13a62bb56733
145542264a40
152d558b9a34
hex19df666260

111122211424 has 48 divisors (see below), whose sum is σ = 264732336288. Its totient is φ = 44822403072.

The previous prime is 111122211323. The next prime is 111122211427. The reversal of 111122211424 is 424112221111.

It is a super-2 number, since 2×1111222114242 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111122211395 and 111122211404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111122211427) 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 7 ways as a sum of consecutive naturals, for example, 14586819 + ... + 14594434.

It is an arithmetic number, because the mean of its divisors is an integer number (5515257006).

Almost surely, 2111122211424 is an apocalyptic number.

111122211424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

111122211424 is an abundant number, since it is smaller than the sum of its proper divisors (153610124864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111122211424 is a wasteful number, since it uses less digits than its factorization.

111122211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29181287 (or 29181279 counting only the distinct ones).

The product of its digits is 256, while the sum is 22.

Adding to 111122211424 its reverse (424112221111), we get a palindrome (535234432535).

The spelling of 111122211424 in words is "one hundred eleven billion, one hundred twenty-two million, two hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 29181253 58362506 116725012 204268771 233450024 408537542 466900048 496081301 817075084 933800096 992162602 1634150168 1984325204 3268300336 3472569107 3968650408 6536600672 6945138214 7937300816 13890276428 15874601632 27780552856 55561105712 111122211424