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1166228129 = 11216935693
BaseRepresentation
bin100010110000011…
…0011101010100001
310000021110112020102
41011200303222201
54342023300004
6311420152145
740620530003
oct10540635241
93007415212
101166228129
1154933a500
12286698655
131577cb721
14b0c5c373
156c5b911e
hex45833aa1

1166228129 has 12 divisors (see below), whose sum is σ = 1282869588. Its totient is φ = 1059395040.

The previous prime is 1166228093. The next prime is 1166228131. The reversal of 1166228129 is 9218226611.

It can be written as a sum of positive squares in 2 ways, for example, as 279558400 + 886669729 = 16720^2 + 29777^2 .

It is a de Polignac number, because none of the positive numbers 2k-1166228129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1166228092 and 1166228101.

It is not an unprimeable number, because it can be changed into a prime (1166228629) 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 11 ways as a sum of consecutive naturals, for example, 202007 + ... + 207699.

It is an arithmetic number, because the mean of its divisors is an integer number (106905799).

Almost surely, 21166228129 is an apocalyptic number.

It is an amenable number.

1166228129 is a deficient number, since it is larger than the sum of its proper divisors (116641459).

1166228129 is a wasteful number, since it uses less digits than its factorization.

1166228129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7408 (or 7397 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 1166228129 is about 34150.0824157131. The cubic root of 1166228129 is about 1052.5946801456.

The spelling of 1166228129 in words is "one billion, one hundred sixty-six million, two hundred twenty-eight thousand, one hundred twenty-nine".

Divisors: 1 11 121 1693 5693 18623 62623 204853 688853 9638249 106020739 1166228129