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111014432112 = 24319571213181
BaseRepresentation
bin110011101100011111…
…0011100110101110000
3101121112210020110121210
41213120332130311300
53304324143311422
6122555504320120
711010020050323
oct1473076346560
9347483213553
10111014432112
1143098830a61
1219622613040
13a61271b0ac
145531c0a7ba
152d4b1ca10c
hex19d8f9cd70

111014432112 has 80 divisors (see below), whose sum is σ = 302411457920. Its totient is φ = 34995628800.

The previous prime is 111014432101. The next prime is 111014432117. The reversal of 111014432112 is 211234410111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111014432117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414162 + ... + 627342.

It is an arithmetic number, because the mean of its divisors is an integer number (3780143224).

Almost surely, 2111014432112 is an apocalyptic number.

111014432112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111014432112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151205728960).

111014432112 is an abundant number, since it is smaller than the sum of its proper divisors (191397025808).

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

111014432112 is a wasteful number, since it uses less digits than its factorization.

111014432112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213782 (or 213776 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 111014432112 its reverse (211234410111), we get a palindrome (322248842223).

The spelling of 111014432112 in words is "one hundred eleven billion, fourteen million, four hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 571 912 1142 1713 2284 3426 4568 6852 9136 10849 13704 21698 27408 32547 43396 65094 86792 130188 173584 213181 260376 426362 520752 639543 852724 1279086 1705448 2558172 3410896 4050439 5116344 8100878 10232688 12151317 16201756 24302634 32403512 48605268 64807024 97210536 121726351 194421072 243452702 365179053 486905404 730358106 973810808 1460716212 1947621616 2312800669 2921432424 4625601338 5842864848 6938402007 9251202676 13876804014 18502405352 27753608028 37004810704 55507216056 111014432112