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111002200122 = 23112324121259
BaseRepresentation
bin110011101100000111…
…1110010100000111010
3101121111221020000111010
41213120033302200322
53304313030400442
6122554350214350
711006511063462
oct1473017624072
9347457200433
10111002200122
1143091936980
121961a4b43b6
13a610027628
145530344ba2
152d4a0b0b9c
hex19d83f283a

111002200122 has 96 divisors (see below), whose sum is σ = 253971002880. Its totient is φ = 32015596800.

The previous prime is 111002200103. The next prime is 111002200129. The reversal of 111002200122 is 221002200111.

It is a junction number, because it is equal to n+sod(n) for n = 111002200098 and 111002200107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111002200129) 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, 88166329 + ... + 88167587.

It is an arithmetic number, because the mean of its divisors is an integer number (2645531280).

Almost surely, 2111002200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111002200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126985501440).

111002200122 is an abundant number, since it is smaller than the sum of its proper divisors (142968802758).

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

111002200122 is a wasteful number, since it uses less digits than its factorization.

111002200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 111002200122 its reverse (221002200111), we get a palindrome (332004400233).

The spelling of 111002200122 in words is "one hundred eleven billion, two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 241 253 482 506 723 759 1259 1446 1518 2518 2651 3777 5302 5543 7554 7953 11086 13849 15906 16629 27698 28957 33258 41547 57914 58081 60973 83094 86871 116162 121946 173742 174243 182919 303419 318527 348486 365838 606838 637054 638891 910257 955581 1277782 1335863 1820514 1911162 1916673 2671726 3337609 3833346 4007589 6675218 6978637 8015178 10012827 13957274 14694493 20025654 20935911 29388986 41871822 44083479 73123979 76765007 88166958 146247958 153530014 219371937 230295021 438743874 460590042 804363769 1608727538 1681851517 2413091307 3363703034 4826182614 5045554551 10091109102 18500366687 37000733374 55501100061 111002200122