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11011100100100 = 2252293796931069
BaseRepresentation
bin1010000000111011100010…
…1101011100011000000100
31102222122120111110012001221
42200032320231130120010
52420401213111200400
635230232441130124
72214345216366232
oct240167055343004
942878514405057
1011011100100100
113565865a47461
12129a037189944
1361b45acc8919
142a0d23861952
15141655e1cc1a
hexa03b8b5c604

11011100100100 has 36 divisors (see below), whose sum is σ = 24718021265700. Its totient is φ = 4252562796160.

The previous prime is 11011100100079. The next prime is 11011100100109. The reversal of 11011100100100 is 100100111011.

Adding to 11011100100100 its reverse (100100111011), we get a palindrome (11111200211111).

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4524176644 + 11006575923456 = 67262^2 + 3317616^2 .

It is not an unprimeable number, because it can be changed into a prime (11011100100109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1898462635 + ... + 1898468434.

It is an arithmetic number, because the mean of its divisors is an integer number (686611701825).

Almost surely, 211011100100100 is an apocalyptic number.

11011100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011100100100 is an abundant number, since it is smaller than the sum of its proper divisors (13706921165600).

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

11011100100100 is a wasteful number, since it uses less digits than its factorization.

11011100100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3796931112 (or 3796931105 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

The spelling of 11011100100100 in words is "eleven trillion, eleven billion, one hundred million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3796931069 7593862138 15187724276 18984655345 37969310690 75938621380 94923276725 110111001001 189846553450 220222002002 379693106900 440444004004 550555005005 1101110010010 2202220020020 2752775025025 5505550050050 11011100100100