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110031220123020 = 22325719611016071229
BaseRepresentation
bin11001000001001010100011…
…110010100010010110001100
3112102120212210220201100121200
4121001022203302202112030
5103410222414322414040
61030003351131225500
732114331131264430
oct3101124362422614
9472525726640550
10110031220123020
1132071a84284759
1210410954ba8290
134951b90385131
141d2577a4369c0
15cac2704ee630
hex6412a3ca258c

110031220123020 has 1152 divisors, whose sum is σ = 413155156377600. Its totient is φ = 23146601472000.

The previous prime is 110031220122983. The next prime is 110031220123079. The reversal of 110031220123020 is 20321022130011.

110031220123020 is a `hidden beast` number, since 1 + 100 + 31 + 220 + 12 + 302 + 0 = 666.

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 = 110031220122984 and 110031220123002.

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 383 ways as a sum of consecutive naturals, for example, 89529063766 + ... + 89529064994.

It is an arithmetic number, because the mean of its divisors is an integer number (358641628800).

Almost surely, 2110031220123020 is an apocalyptic number.

110031220123020 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 110031220123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206577578188800).

110031220123020 is an abundant number, since it is smaller than the sum of its proper divisors (303123936254580).

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

110031220123020 is a wasteful number, since it uses less digits than its factorization.

110031220123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110031220123020 its reverse (20321022130011), we get a palindrome (130352242253031).

The spelling of 110031220123020 in words is "one hundred ten trillion, thirty-one billion, two hundred twenty million, one hundred twenty-three thousand, twenty".