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111110010032 = 2473143373907
BaseRepresentation
bin110011101111010101…
…1000011010010110000
3101121210110002022212202
41213132223003102300
53310023130310112
6123013201042332
711012260334210
oct1473653032260
9347713068782
10111110010032
114313778207a
121964a6263a8
13a629473b88
1455407aa240
152d547a96c2
hex19deac34b0

111110010032 has 80 divisors (see below), whose sum is σ = 254555707392. Its totient is φ = 45975444480.

The previous prime is 111110010029. The next prime is 111110010061. The reversal of 111110010032 is 230010011111.

It is a happy number.

It is a super-2 number, since 2×1111100100322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111110009995 and 111110010022.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1466423 + ... + 1540329.

Almost surely, 2111110010032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111110010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127277853696).

111110010032 is an abundant number, since it is smaller than the sum of its proper divisors (143445697360).

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

111110010032 is a wasteful number, since it uses less digits than its factorization.

111110010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74386 (or 74380 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 111110010032 its reverse (230010011111), we get a palindrome (341120021143).

The spelling of 111110010032 in words is "one hundred eleven billion, one hundred ten million, ten thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 433 434 496 866 868 1732 1736 3031 3464 3472 6062 6928 12124 13423 24248 26846 48496 53692 73907 93961 107384 147814 187922 214768 295628 375844 517349 591256 751688 1034698 1182512 1503376 2069396 2291117 4138792 4582234 8277584 9164468 16037819 18328936 32001731 32075638 36657872 64003462 64151276 128006924 128302552 224012117 256013848 256605104 448024234 512027696 896048468 992053661 1792096936 1984107322 3584193872 3968214644 6944375627 7936429288 13888751254 15872858576 27777502508 55555005016 111110010032