Search a number
-
+
220102221021120 = 26325159747854967
BaseRepresentation
bin110010000010111010001010…
…101100101011111111000000
31001212022120022012222110200100
4302002322022230223333000
5212322123322040133440
62100041321530522400
764234601135565234
oct6202721254537700
91055276265873610
10220102221021120
1164149911793529
1220829350596400
1395a7720263b19
143c4d00bc925c4
151a6a56d130230
hexc82e8ab2bfc0

220102221021120 has 168 divisors, whose sum is σ = 757533998186784. Its totient is φ = 58657171765248.

The previous prime is 220102221021083. The next prime is 220102221021269. The reversal of 220102221021120 is 21120122201022.

It is a happy number.

220102221021120 is a `hidden beast` number, since 2 + 201 + 0 + 22 + 210 + 211 + 20 = 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 = 220102221021093 and 220102221021102.

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 23 ways as a sum of consecutive naturals, for example, 19328124 + ... + 28526843.

It is an arithmetic number, because the mean of its divisors is an integer number (4509130941588).

Almost surely, 2220102221021120 is an apocalyptic number.

220102221021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220102221021120 is an abundant number, since it is smaller than the sum of its proper divisors (537431777165664).

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

220102221021120 is a wasteful number, since it uses less digits than its factorization.

220102221021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47856587 (or 47856574 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220102221021120 its reverse (21120122201022), we get a palindrome (241222343222142).

The spelling of 220102221021120 in words is "two hundred twenty trillion, one hundred two billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty".