Search a number
-
+
120020222200 = 23521967471407
BaseRepresentation
bin110111111000111000…
…0110100000011111000
3102110210102020000010211
41233301300310003320
53431300134102300
6131045253520504
711446133025154
oct1576160640370
9373712200124
10120020222200
114699a31738a
121b316643134
13b419447978
145b47ccc064
1531c6b4c4ba
hex1bf1c340f8

120020222200 has 96 divisors (see below), whose sum is σ = 298118419200. Its totient is φ = 44802426240.

The previous prime is 120020222191. The next prime is 120020222227. The reversal of 120020222200 is 2222020021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18897 + ... + 490303.

It is an arithmetic number, because the mean of its divisors is an integer number (3105400200).

Almost surely, 2120020222200 is an apocalyptic number.

120020222200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120020222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149059209600).

120020222200 is an abundant number, since it is smaller than the sum of its proper divisors (178098197000).

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

120020222200 is a wasteful number, since it uses less digits than its factorization.

120020222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471509 (or 471500 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 120020222200 its reverse (2222020021), we get a palindrome (122242242221).

The spelling of 120020222200 in words is "one hundred twenty billion, twenty million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 67 76 95 100 134 152 190 200 268 335 380 475 536 670 760 950 1273 1340 1675 1900 2546 2680 3350 3800 5092 6365 6700 10184 12730 13400 25460 31825 50920 63650 127300 254600 471407 942814 1885628 2357035 3771256 4714070 8956733 9428140 11785175 17913466 18856280 23570350 31584269 35826932 44783665 47140700 63168538 71653864 89567330 94281400 126337076 157921345 179134660 223918325 252674152 315842690 358269320 447836650 600101111 631685380 789606725 895673300 1200202222 1263370760 1579213450 1791346600 2400404444 3000505555 3158426900 4800808888 6001011110 6316853800 12002022220 15002527775 24004044440 30005055550 60010111100 120020222200