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11000032013321 = 136117380181589
BaseRepresentation
bin1010000000010010010100…
…0000000010110000001001
31102221121000010220010022222
42200010211000002300021
52420211031143411241
635221202301423425
72213504022245531
oct240044500026011
942847003803288
1011000032013321
1135610a6334aaa
121297a6856ab75
1361a3b5c52550
142a059390a4c1
151412093cea4b
hexa0125002c09

11000032013321 has 16 divisors (see below), whose sum is σ = 12109985900880. Its totient is φ = 9929687857920.

The previous prime is 11000032013261. The next prime is 11000032013323. The reversal of 11000032013321 is 12331023000011.

It can be written as a sum of positive squares in 8 ways, for example, as 216656735296 + 10783375278025 = 465464^2 + 3283805^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000032013321 - 210 = 11000032012297 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11000032013321.

It is not an unprimeable number, because it can be changed into a prime (11000032013323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39953606 + ... + 40227983.

It is an arithmetic number, because the mean of its divisors is an integer number (756874118805).

Almost surely, 211000032013321 is an apocalyptic number.

It is an amenable number.

11000032013321 is a deficient number, since it is larger than the sum of its proper divisors (1109953887559).

11000032013321 is a wasteful number, since it uses less digits than its factorization.

11000032013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80181836.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 11000032013321 its reverse (12331023000011), we get a palindrome (23331055013332).

The spelling of 11000032013321 in words is "eleven trillion, thirty-two million, thirteen thousand, three hundred twenty-one".

Divisors: 1 13 61 173 793 2249 10553 137189 80181589 1042360657 4891076929 13871414897 63584000077 180328393661 846156308717 11000032013321