Search a number
-
+
11010099200 = 21152359599
BaseRepresentation
bin10100100000100000…
…01100100000000000
31001102022102222201212
422100100030200000
5140022041133300
65020304345252
7536561204402
oct122020144000
931368388655
1011010099200
11473aa06541
122173315228
1310660523c9
1476637cb72
154468d6935
hex29040c800

11010099200 has 144 divisors (see below), whose sum is σ = 27420120000. Its totient is φ = 4384440320.

The previous prime is 11010099193. The next prime is 11010099203. The reversal of 11010099200 is 299001011.

It is not an unprimeable number, because it can be changed into a prime (11010099203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18380501 + ... + 18381099.

It is an arithmetic number, because the mean of its divisors is an integer number (190417500).

Almost surely, 211010099200 is an apocalyptic number.

11010099200 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 11010099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710060000).

11010099200 is an abundant number, since it is smaller than the sum of its proper divisors (16410020800).

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

11010099200 is an equidigital number, since it uses as much as digits as its factorization.

11010099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 11010099200 in words is "eleven billion, ten million, ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 359 400 512 599 640 718 800 1024 1198 1280 1436 1600 1795 2048 2396 2560 2872 2995 3200 3590 4792 5120 5744 5990 6400 7180 8975 9584 10240 11488 11980 12800 14360 14975 17950 19168 22976 23960 25600 28720 29950 35900 38336 45952 47920 51200 57440 59900 71800 76672 91904 95840 114880 119800 143600 153344 183808 191680 215041 229760 239600 287200 306688 367616 383360 430082 459520 479200 574400 613376 735232 766720 860164 919040 958400 1075205 1148800 1226752 1533440 1720328 1838080 1916800 2150410 2297600 3066880 3440656 3676160 3833600 4300820 4595200 5376025 6133760 6881312 7667200 8601640 9190400 10752050 13762624 15334400 17203280 18380800 21504100 27525248 30668800 34406560 43008200 55050496 68813120 86016400 110100992 137626240 172032800 220201984 275252480 344065600 440403968 550504960 688131200 1101009920 1376262400 2202019840 2752524800 5505049600 11010099200