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110023213320 = 23325378992809
BaseRepresentation
bin110011001110111100…
…1010000000100001000
3101111222201002100001200
41212131321100010020
53300311420311240
6122313255144200
710643322611526
oct1463571200410
9344881070050
10110023213320
114272a265679
12193a6675060
13a4b5266ab7
14547a307316
152cde180930
hex199de50108

110023213320 has 192 divisors, whose sum is σ = 371369934000. Its totient is φ = 28225511424.

The previous prime is 110023213301. The next prime is 110023213397. The reversal of 110023213320 is 23312320011.

110023213320 is a `hidden beast` number, since 1 + 10 + 0 + 2 + 321 + 332 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 77296232484 + 32726980836 = 278022^2 + 180906^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110023213293 and 110023213302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139076 + ... + 1231884.

Almost surely, 2110023213320 is an apocalyptic number.

110023213320 is a gapful number since it is divisible by the number (10) 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 110023213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185684967000).

110023213320 is an abundant number, since it is smaller than the sum of its proper divisors (261346720680).

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

110023213320 is a wasteful number, since it uses less digits than its factorization.

110023213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92952 (or 92945 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 110023213320 its reverse (23312320011), we get a palindrome (133335533331).

The spelling of 110023213320 in words is "one hundred ten billion, twenty-three million, two hundred thirteen thousand, three hundred twenty".