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110661433344 = 21132711103757
BaseRepresentation
bin110011100001111101…
…1110111100000000000
3101120122012000021100100
41213003323313200000
53303113311331334
6122500454322400
710665202443360
oct1470373674000
9346565007310
10110661433344
1142a27548840
1219544359400
13a587554c97
1454dad9c9a0
152d2a1ecc99
hex19c3ef7800

110661433344 has 576 divisors, whose sum is σ = 402875665920. Its totient is φ = 28426567680.

The previous prime is 110661433303. The next prime is 110661433349. The reversal of 110661433344 is 443334166011.

110661433344 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 614 + 3 + 3 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 110661433299 and 110661433308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110661433349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146183814 + ... + 146184570.

It is an arithmetic number, because the mean of its divisors is an integer number (699436920).

Almost surely, 2110661433344 is an apocalyptic number.

110661433344 is a gapful number since it is divisible by the number (14) 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 110661433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201437832960).

110661433344 is an abundant number, since it is smaller than the sum of its proper divisors (292214232576).

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

110661433344 is a wasteful number, since it uses less digits than its factorization.

110661433344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 110661433344 its reverse (443334166011), we get a palindrome (553995599355).

The spelling of 110661433344 in words is "one hundred ten billion, six hundred sixty-one million, four hundred thirty-three thousand, three hundred forty-four".