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11001001100 = 2252412719901
BaseRepresentation
bin10100011111011010…
…11111010010001100
31001101200022202111012
422033231133102030
5140012224013400
65015341344352
7536420652335
oct121755372214
931350282435
1011001001100
114735861a51
1221702680b8
1310641b820b
1476509128c
15445bdad35
hex28fb5f48c

11001001100 has 72 divisors (see below), whose sum is σ = 24547137216. Its totient is φ = 4276800000.

The previous prime is 11001001097. The next prime is 11001001129. The reversal of 11001001100 is 110010011.

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 1106150 + ... + 1116050.

Almost surely, 211001001100 is an apocalyptic number.

11001001100 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 11001001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12273568608).

11001001100 is an abundant number, since it is smaller than the sum of its proper divisors (13546136116).

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

11001001100 is a wasteful number, since it uses less digits than its factorization.

11001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10227 (or 10220 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11001001100 its reverse (110010011), we get a palindrome (11111011111).

11001001100 divided by its reverse (110010011) gives a square (100 = 102).

The spelling of 11001001100 in words is "eleven billion, one million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 271 410 542 820 1025 1084 1355 2050 2710 4100 5420 6775 9901 11111 13550 19802 22222 27100 39604 44444 49505 55555 99010 111110 198020 222220 247525 277775 405941 495050 555550 811882 990100 1111100 1623764 2029705 2683171 4059410 5366342 8118820 10148525 10732684 13415855 20297050 26831710 40594100 53663420 67079275 110010011 134158550 220020022 268317100 440040044 550050055 1100100110 2200200220 2750250275 5500500550 11001001100