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1121266116 = 223231146281
BaseRepresentation
bin100001011010101…
…0010100111000100
32220010212012221200
41002311102213010
54244021003431
6303132342500
736533414265
oct10265224704
92803765850
101121266116
11525a1a913
12273614a30
1314b3b8499
14a8cb696c
1568686ee6
hex42d529c4

1121266116 has 18 divisors (see below), whose sum is σ = 2834311662. Its totient is φ = 373755360.

The previous prime is 1121266099. The next prime is 1121266147. The reversal of 1121266116 is 6116621211.

1121266116 is a `hidden beast` number, since 1 + 1 + 21 + 26 + 611 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1072824516 + 48441600 = 32754^2 + 6960^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1121266116.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 15573105 + ... + 15573176.

It is an arithmetic number, because the mean of its divisors is an integer number (157461759).

Almost surely, 21121266116 is an apocalyptic number.

It is an amenable number.

1121266116 is an abundant number, since it is smaller than the sum of its proper divisors (1713045546).

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

1121266116 is a wasteful number, since it uses less digits than its factorization.

1121266116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31146291 (or 31146286 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 1121266116 is about 33485.3119441943. The cubic root of 1121266116 is about 1038.8900003754.

Adding to 1121266116 its reverse (6116621211), we get a palindrome (7237887327).

The spelling of 1121266116 in words is "one billion, one hundred twenty-one million, two hundred sixty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 31146281 62292562 93438843 124585124 186877686 280316529 373755372 560633058 1121266116