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110033131332 = 22329631501089
BaseRepresentation
bin110011001111001111…
…1000101011101000100
3101112000101202020000110
41212132133011131010
53300321440200312
6122314251513020
710643503120155
oct1463637053504
9345011666013
10110033131332
114273491a183
12193a9a58770
13a4b732a247
14547b76992c
152cdee8e43c
hex199e7c5744

110033131332 has 48 divisors (see below), whose sum is σ = 266018659200. Its totient is φ = 35356769280.

The previous prime is 110033131253. The next prime is 110033131399. The reversal of 110033131332 is 233131330011.

It is a junction number, because it is equal to n+sod(n) for n = 110033131299 and 110033131308.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30957 + ... + 470132.

It is an arithmetic number, because the mean of its divisors is an integer number (5542055400).

Almost surely, 2110033131332 is an apocalyptic number.

110033131332 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 110033131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133009329600).

110033131332 is an abundant number, since it is smaller than the sum of its proper divisors (155985527868).

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

110033131332 is a wasteful number, since it uses less digits than its factorization.

110033131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501756 (or 501754 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 110033131332 its reverse (233131330011), we get a palindrome (343164461343).

The spelling of 110033131332 in words is "one hundred ten billion, thirty-three million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 631 1262 1893 2524 3786 7572 18299 36598 54897 73196 109794 219588 501089 1002178 1503267 2004356 3006534 6013068 14531581 29063162 43594743 58126324 87189486 174378972 316187159 632374318 948561477 1264748636 1897122954 3794245908 9169427611 18338855222 27508282833 36677710444 55016565666 110033131332