Search a number
-
+
11042022200 = 23521115673203
BaseRepresentation
bin10100100100010011…
…11110001100111000
31001111112111211212012
422102021332030320
5140103224202300
65023404505052
7540426432356
oct122211761470
931445454765
1011042022200
114756a2a790
122181b4b188
13106c84b761
1476a6cc7d6
154495e0435
hex29227e338

11042022200 has 96 divisors (see below), whose sum is σ = 28033205760. Its totient is φ = 4011465600.

The previous prime is 11042022163. The next prime is 11042022209. The reversal of 11042022200 is 222024011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042022209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3445799 + ... + 3449001.

It is an arithmetic number, because the mean of its divisors is an integer number (292012560).

Almost surely, 211042022200 is an apocalyptic number.

11042022200 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 11042022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14016602880).

11042022200 is an abundant number, since it is smaller than the sum of its proper divisors (16991183560).

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

11042022200 is a wasteful number, since it uses less digits than its factorization.

11042022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 11042022200 its reverse (222024011), we get a palindrome (11264046211).

The spelling of 11042022200 in words is "eleven billion, forty-two million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1567 2200 3134 3203 6268 6406 7835 12536 12812 15670 16015 17237 25624 31340 32030 34474 35233 39175 62680 64060 68948 70466 78350 80075 86185 128120 137896 140932 156700 160150 172370 176165 281864 313400 320300 344740 352330 430925 640600 689480 704660 861850 880825 1409320 1723700 1761650 3447400 3523300 5019101 7046600 10038202 20076404 25095505 40152808 50191010 55210111 100382020 110420222 125477525 200764040 220840444 250955050 276050555 441680888 501910100 552101110 1003820200 1104202220 1380252775 2208404440 2760505550 5521011100 11042022200