Search a number
-
+
122221011100 = 22528599531493
BaseRepresentation
bin111000111010011110…
…0001010000010011100
3102200110210101122221211
41301310330022002130
54000302034323400
6132051512234204
711554515311266
oct1616474120234
9380423348854
10122221011100
1147919635691
121b82b69b964
13b6aa394416
145cb62d2b36
1532a4e72dba
hex1c74f0a09c

122221011100 has 72 divisors (see below), whose sum is σ = 265985007120. Its totient is φ = 48747578880.

The previous prime is 122221011079. The next prime is 122221011139. The reversal of 122221011100 is 1110122221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81861954 + ... + 81863446.

It is an arithmetic number, because the mean of its divisors is an integer number (3694236210).

Almost surely, 2122221011100 is an apocalyptic number.

122221011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122221011100 is an abundant number, since it is smaller than the sum of its proper divisors (143763996020).

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

122221011100 is a wasteful number, since it uses less digits than its factorization.

122221011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122221011100 its reverse (1110122221), we get a palindrome (123331133321).

The spelling of 122221011100 in words is "one hundred twenty-two billion, two hundred twenty-one million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 859 953 1493 1718 1906 2986 3436 3812 4295 4765 5972 7465 8590 9530 14930 17180 19060 21475 23825 29860 37325 42950 47650 74650 85900 95300 149300 818627 1282487 1422829 1637254 2564974 2845658 3274508 4093135 5129948 5691316 6412435 7114145 8186270 12824870 14228290 16372540 20465675 25649740 28456580 32062175 35570725 40931350 64124350 71141450 81862700 128248700 142282900 1222210111 2444420222 4888840444 6111050555 12222101110 24444202220 30555252775 61110505550 122221011100