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110233132020 = 2232511215732237
BaseRepresentation
bin110011010101001101…
…0000001101111110100
3101112112100002022101100
41212222122001233310
53301224140211040
6122350154330100
710651452106434
oct1465232015764
9345470068340
10110233132020
1142827802700
1219444a29930
13a5198b494b
14549a14c2c4
152d027e8b30
hex19aa681bf4

110233132020 has 216 divisors, whose sum is σ = 369887335272. Its totient is φ = 26552148480.

The previous prime is 110233132001. The next prime is 110233132069. The reversal of 110233132020 is 20231332011.

110233132020 is a `hidden beast` number, since 1 + 10 + 2 + 331 + 320 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28147443984 + 82085688036 = 167772^2 + 286506^2 .

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 = 110233131984 and 110233132002.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 3403342 + ... + 3435578.

It is an arithmetic number, because the mean of its divisors is an integer number (1712441367).

Almost surely, 2110233132020 is an apocalyptic number.

110233132020 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 110233132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184943667636).

110233132020 is an abundant number, since it is smaller than the sum of its proper divisors (259654203252).

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

110233132020 is a wasteful number, since it uses less digits than its factorization.

110233132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32431 (or 32415 counting only the distinct ones).

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

Adding to 110233132020 its reverse (20231332011), we get a palindrome (130464464031).

Subtracting from 110233132020 its reverse (20231332011), we obtain a square (90001800009 = 3000032).

The spelling of 110233132020 in words is "one hundred ten billion, two hundred thirty-three million, one hundred thirty-two thousand, twenty".