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11211664061 = 1341157133981
BaseRepresentation
bin10100111000100010…
…00110101010111101
31001221100201112202002
422130101012222331
5140430141222221
65052304512045
7544556400143
oct123421065275
931840645662
1011211664061
114833768174
12220a91b625
131098a36a60
1478504b593
1545944e80b
hex29c446abd

11211664061 has 16 divisors (see below), whose sum is σ = 12447463728. Its totient is φ = 10032422400.

The previous prime is 11211663997. The next prime is 11211664109. The reversal of 11211664061 is 16046611211.

It is a happy number.

11211664061 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 464402500 + 10747261561 = 21550^2 + 103669^2 .

It is not a de Polignac number, because 11211664061 - 26 = 11211663997 is a prime.

It is a super-2 number, since 2×112116640612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211664661) 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, 16691 + ... + 150671.

It is an arithmetic number, because the mean of its divisors is an integer number (777966483).

Almost surely, 211211664061 is an apocalyptic number.

It is an amenable number.

11211664061 is a deficient number, since it is larger than the sum of its proper divisors (1235799667).

11211664061 is a wasteful number, since it uses less digits than its factorization.

11211664061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134192.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 11211664061 in words is "eleven billion, two hundred eleven million, six hundred sixty-four thousand, sixty-one".

Divisors: 1 13 41 157 533 2041 6437 83681 133981 1741753 5493221 21035017 71411873 273455221 862435697 11211664061