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11006957221 = 132929196173
BaseRepresentation
bin10100100000001000…
…01101011010100101
31001102002112100202021
422100010031122211
5140020240112341
65020113143141
7536522410201
oct122004153245
931362470667
1011006957221
11473915a967
12217225aab1
1310654c2250
14765ba1b01
154464b59d1
hex29010d6a5

11006957221 has 8 divisors (see below), whose sum is σ = 12262393080. Its totient is φ = 9809913792.

The previous prime is 11006957219. The next prime is 11006957261. The reversal of 11006957221 is 12275960011.

It can be written as a sum of positive squares in 4 ways, for example, as 271096225 + 10735860996 = 16465^2 + 103614^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11006957221 - 21 = 11006957219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006957261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14597710 + ... + 14598463.

It is an arithmetic number, because the mean of its divisors is an integer number (1532799135).

Almost surely, 211006957221 is an apocalyptic number.

It is an amenable number.

11006957221 is a deficient number, since it is larger than the sum of its proper divisors (1255435859).

11006957221 is a wasteful number, since it uses less digits than its factorization.

11006957221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29196215.

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 11006957221 in words is "eleven billion, six million, nine hundred fifty-seven thousand, two hundred twenty-one".

Divisors: 1 13 29 377 29196173 379550249 846689017 11006957221