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11000221297 = 1317497310009
BaseRepresentation
bin10100011111010101…
…00000111001110001
31001101121212010210121
422033222200321301
5140012024040142
65015312530241
7536411224012
oct121752407161
931347763717
1011000221297
11473537a08a
12216bb50981
131063ca42b0
14764d2b009
15445ad4c67
hex28faa0e71

11000221297 has 16 divisors (see below), whose sum is σ = 12547014480. Its totient is φ = 9553876992.

The previous prime is 11000221279. The next prime is 11000221313. The reversal of 11000221297 is 79212200011.

11000221297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1594325041 + 9405896256 = 39929^2 + 96984^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000221297 - 227 = 10866003569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11000221237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1094029 + ... + 1104037.

It is an arithmetic number, because the mean of its divisors is an integer number (784188405).

Almost surely, 211000221297 is an apocalyptic number.

11000221297 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11000221297 is a deficient number, since it is larger than the sum of its proper divisors (1546793183).

11000221297 is a wasteful number, since it uses less digits than its factorization.

11000221297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15012.

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 11000221297 in words is "eleven billion, two hundred twenty-one thousand, two hundred ninety-seven".

Divisors: 1 13 17 221 4973 10009 64649 84541 130117 170153 1099033 2211989 49774757 647071841 846170869 11000221297