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110230221121020 = 223657111343317443
BaseRepresentation
bin11001000100000011111001…
…001011000110010111111100
3112110021220110122012111000000
4121010003321023012113330
5103422002443101333040
61030235021533234300
732134604431665240
oct3104037113062774
9473256418174000
10110230221121020
1132139413143970
1210443432032990
134967885726460
141d3125798a420
15cb251addd130
hex6440f92c65fc

110230221121020 has 1344 divisors, whose sum is σ = 467094258054144. Its totient is φ = 21093020835840.

The previous prime is 110230221120991. The next prime is 110230221121039. The reversal of 110230221121020 is 20121122032011.

110230221121020 is a `hidden beast` number, since 1 + 1 + 0 + 230 + 221 + 1 + 210 + 2 + 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 = 110230221120984 and 110230221121002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 6319444419 + ... + 6319461861.

It is an arithmetic number, because the mean of its divisors is an integer number (347540370576).

Almost surely, 2110230221121020 is an apocalyptic number.

110230221121020 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 110230221121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233547129027072).

110230221121020 is an abundant number, since it is smaller than the sum of its proper divisors (356864036933124).

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

110230221121020 is a wasteful number, since it uses less digits than its factorization.

110230221121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17934 (or 17917 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110230221121020 its reverse (20121122032011), we get a palindrome (130351343153031).

The spelling of 110230221121020 in words is "one hundred ten trillion, two hundred thirty billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty".