Search a number
-
+
220101112220103 = 3378781103475369
BaseRepresentation
bin110010000010111001001000…
…100110111100100111000111
31001212022110102221120112122000
4302002321020212330213013
5212322114034212020403
62100041015521240343
764234531513125222
oct6202711046744707
91055273387515560
10220101112220103
11641493a2907954
12208290a11930b3
1395a75a462124a
143c4cd449025b9
151a6a505b0b7a3
hexc82e489bc9c7

220101112220103 has 16 divisors (see below), whose sum is σ = 326079863973600. Its totient is φ = 146732210838720.

The previous prime is 220101112220057. The next prime is 220101112220107. The reversal of 220101112220103 is 301022211101022.

220101112220103 is a `hidden beast` number, since 220 + 10 + 1 + 112 + 220 + 103 = 666.

It is a de Polignac number, because none of the positive numbers 2k-220101112220103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220101112220107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49610598 + ... + 53864771.

It is an arithmetic number, because the mean of its divisors is an integer number (20379991498350).

Almost surely, 2220101112220103 is an apocalyptic number.

220101112220103 is a deficient number, since it is larger than the sum of its proper divisors (105978751753497).

220101112220103 is a wasteful number, since it uses less digits than its factorization.

220101112220103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103554159 (or 103554153 counting only the distinct ones).

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

Adding to 220101112220103 its reverse (301022211101022), we get a palindrome (521123323321125).

The spelling of 220101112220103 in words is "two hundred twenty trillion, one hundred one billion, one hundred twelve million, two hundred twenty thousand, one hundred three".

Divisors: 1 3 9 27 78781 236343 709029 2127087 103475369 310426107 931278321 2793834963 8151893045189 24455679135567 73367037406701 220101112220103