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111442000332 = 223132937193391
BaseRepresentation
bin110011111001001110…
…1011111100111001100
3101122122120210011221210
41213302131133213030
53311213123002312
6123110140454420
711023431242025
oct1476235374714
9348576704853
10111442000332
1143298116323
121972184a410
13a680192840
145572909c4c
152d739d6e3c
hex19f275f9cc

111442000332 has 96 divisors (see below), whose sum is σ = 281463275520. Its totient is φ = 34115224320.

The previous prime is 111442000331. The next prime is 111442000343. The reversal of 111442000332 is 233000244111.

It is a super-2 number, since 2×1114420003322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111442000299 and 111442000308.

It is not an unprimeable number, because it can be changed into a prime (111442000331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32862357 + ... + 32865747.

It is an arithmetic number, because the mean of its divisors is an integer number (2931909120).

Almost surely, 2111442000332 is an apocalyptic number.

111442000332 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 111442000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140731637760).

111442000332 is an abundant number, since it is smaller than the sum of its proper divisors (170021275188).

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

111442000332 is a wasteful number, since it uses less digits than its factorization.

111442000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 111442000332 its reverse (233000244111), we get a palindrome (344442244443).

The spelling of 111442000332 in words is "one hundred eleven billion, four hundred forty-two million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 293 586 719 879 1172 1438 1758 2157 2876 3391 3516 3809 4314 6782 7618 8628 9347 10173 11427 13564 15236 18694 20346 22854 28041 37388 40692 44083 45708 56082 88166 112164 132249 176332 210667 264498 421334 528996 632001 842668 993563 1264002 1987126 2438129 2528004 2738671 2980689 3974252 4876258 5477342 5961378 7314387 8216013 9752516 10954684 11922756 12916319 14628774 16432026 25832638 29257548 31695677 32864052 38748957 51665276 63391354 77497914 95087031 126782708 154995828 190174062 380348124 714371797 1428743594 2143115391 2857487188 4286230782 8572461564 9286833361 18573666722 27860500083 37147333444 55721000166 111442000332