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11102132200 = 23521723141971
BaseRepresentation
bin10100101011011110…
…10001011111101000
31001122201121202021111
422111233101133220
5140214121212300
65033353120104
7542056365235
oct122557213750
931581552244
1011102132200
114787956275
12219a0b9034
13107c1367c3
1477469878c
1544ea159ba
hex295bd17e8

11102132200 has 96 divisors (see below), whose sum is σ = 28519335360. Its totient is φ = 3997875200.

The previous prime is 11102132161. The next prime is 11102132243. The reversal of 11102132200 is 223120111.

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, 7215 + ... + 149185.

It is an arithmetic number, because the mean of its divisors is an integer number (297076410).

Almost surely, 211102132200 is an apocalyptic number.

11102132200 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 11102132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14259667680).

11102132200 is an abundant number, since it is smaller than the sum of its proper divisors (17417203160).

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

11102132200 is a wasteful number, since it uses less digits than its factorization.

11102132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142027 (or 142018 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 11102132200 its reverse (223120111), we get a palindrome (11325252311).

The spelling of 11102132200 in words is "eleven billion, one hundred two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 23 25 34 40 46 50 68 85 92 100 115 136 170 184 200 230 340 391 425 460 575 680 782 850 920 1150 1564 1700 1955 2300 3128 3400 3910 4600 7820 9775 15640 19550 39100 78200 141971 283942 567884 709855 1135768 1419710 2413507 2839420 3265333 3549275 4827014 5678840 6530666 7098550 9654028 12067535 13061332 14197100 16326665 19308056 24135070 26122664 28394200 32653330 48270140 55510661 60337675 65306660 81633325 96540280 111021322 120675350 130613320 163266650 222042644 241350700 277553305 326533300 444085288 482701400 555106610 653066600 1110213220 1387766525 2220426440 2775533050 5551066100 11102132200