Search a number
-
+
220220011122102 = 23334939672945611
BaseRepresentation
bin110010000100100111110111…
…100010010000110110110110
31001212201211100012211120122000
4302010213313202100312312
5212331041040321401402
62100211402041320130
764246241112122325
oct6204476742206666
91055654305746560
10220220011122102
1164194867177822
1220848144196046
1395b5872661c24
143c549c39020bc
151a6d6640b0c1c
hexc849f7890db6

220220011122102 has 64 divisors (see below), whose sum is σ = 490903913472000. Its totient is φ = 73177859924640.

The previous prime is 220220011122079. The next prime is 220220011122103. The reversal of 220220011122102 is 201221110022022.

It is a happy number.

220220011122102 is a `hidden beast` number, since 220 + 220 + 0 + 1 + 1 + 1 + 221 + 0 + 2 = 666.

220220011122102 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220220011122103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73289277 + ... + 76234887.

It is an arithmetic number, because the mean of its divisors is an integer number (7670373648000).

Almost surely, 2220220011122102 is an apocalyptic number.

220220011122102 is an abundant number, since it is smaller than the sum of its proper divisors (270683902349898).

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

220220011122102 is a wasteful number, since it uses less digits than its factorization.

220220011122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949938 (or 2949932 counting only the distinct ones).

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

Adding to 220220011122102 its reverse (201221110022022), we get a palindrome (421441121144124).

The spelling of 220220011122102 in words is "two hundred twenty trillion, two hundred twenty billion, eleven million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 349 698 1047 2094 3141 3967 6282 7934 9423 11901 18846 23802 35703 71406 107109 214218 1384483 2768966 2945611 4153449 5891222 8306898 8836833 12460347 17673666 24920694 26510499 37381041 53020998 74762082 79531497 159062994 1028018239 2056036478 3084054717 6168109434 9252164151 11685238837 18504328302 23370477674 27756492453 35055716511 55512984906 70111433022 105167149533 210334299066 315501448599 631002897198 4078148354113 8156296708226 12234445062339 24468890124678 36703335187017 73406670374034 110110005561051 220220011122102