Search a number
-
+
2220112011110 = 25732953421121
BaseRepresentation
bin100000010011101000111…
…111001101111101100110
321212020111102102120001212
4200103220333031331212
5242333242133323420
64415523321151422
7316253305505000
oct40235077157546
97766442376055
102220112011110
117865a9396674
122ba33302b572
13131481518a26
147964da93370
153cb3be463c5
hex204e8fcdf66

2220112011110 has 128 divisors (see below), whose sum is σ = 4911967008000. Its totient is φ = 721065246720.

The previous prime is 2220112011107. The next prime is 2220112011113. The reversal of 2220112011110 is 111102110222.

It is an interprime number because it is at equal distance from previous prime (2220112011107) and next prime (2220112011113).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220112011113) 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 63 ways as a sum of consecutive naturals, for example, 5061350 + ... + 5482470.

It is an arithmetic number, because the mean of its divisors is an integer number (38374742250).

Almost surely, 22220112011110 is an apocalyptic number.

2220112011110 is an abundant number, since it is smaller than the sum of its proper divisors (2691854996890).

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

2220112011110 is a wasteful number, since it uses less digits than its factorization.

2220112011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421231 (or 421217 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2220112011110 its reverse (111102110222), we get a palindrome (2331214121332).

The spelling of 2220112011110 in words is "two trillion, two hundred twenty billion, one hundred twelve million, eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 29 35 49 53 58 70 98 106 145 203 245 265 290 343 371 406 490 530 686 742 1015 1421 1537 1715 1855 2030 2597 2842 3074 3430 3710 5194 7105 7685 9947 10759 12985 14210 15370 18179 19894 21518 25970 36358 49735 53795 75313 90895 99470 107590 150626 181790 376565 421121 527191 753130 842242 1054382 2105605 2635955 2947847 4211210 5271910 5895694 12212509 14739235 20634929 22319413 24425018 29478470 41269858 44638826 61062545 85487563 103174645 111597065 122125090 144444503 156235891 170975126 206349290 223194130 288889006 312471782 427437815 598412941 647262977 722222515 781179455 854875630 1093651237 1196825882 1294525954 1444445030 1562358910 2187302474 2992064705 3236314885 4188890587 4530840839 5468256185 5984129410 6472629770 7655558659 8377781174 9061681678 10936512370 15311117318 20944452935 22654204195 31715885873 38277793295 41888905870 45308408390 63431771746 76555586590 158579429365 222011201111 317158858730 444022402222 1110056005555 2220112011110