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11004402241332 = 22321036929479973
BaseRepresentation
bin1010000000100010100101…
…1111001000111100110100
31102222000021201020201010200
42200020221133020330310
52420244003433210312
635223204054520500
72214020226465213
oct240105137107464
942860251221120
1011004402241332
113562a391a9a95
121298888066130
1361a931490296
142a088a0b507a
151413b2dd70dc
hexa02297c8f34

11004402241332 has 36 divisors (see below), whose sum is σ = 27819367064580. Its totient is φ = 3667780196352.

The previous prime is 11004402241331. The next prime is 11004402241363. The reversal of 11004402241332 is 23314220440011.

11004402241332 is a `hidden beast` number, since 1 + 10 + 0 + 4 + 402 + 241 + 3 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2973265667856 + 8031136573476 = 1724316^2 + 2833926^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 11004402241296 and 11004402241305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004402241331) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14366703 + ... + 15113270.

Almost surely, 211004402241332 is an apocalyptic number.

11004402241332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11004402241332 is an abundant number, since it is smaller than the sum of its proper divisors (16814964823248).

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

11004402241332 is a wasteful number, since it uses less digits than its factorization.

11004402241332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29490352 (or 29490347 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11004402241332 its reverse (23314220440011), we get a palindrome (34318622681343).

The spelling of 11004402241332 in words is "eleven trillion, four billion, four hundred two million, two hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 10369 20738 31107 41476 62214 93321 124428 186642 373284 29479973 58959946 88439919 117919892 176879838 265319757 353759676 530639514 1061279028 305677840037 611355680074 917033520111 1222711360148 1834067040222 2751100560333 3668134080444 5502201120666 11004402241332