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1120132117 = 133710123057
BaseRepresentation
bin100001011000011…
…1101110000010101
32220001201121101201
41002300331300111
54243223211432
6303052152501
736520652206
oct10260756025
92801647351
101120132117
11525315925
12273168731
1314b0ac290
14a8a9d5ad
1568510ee7
hex42c3dc15

1120132117 has 16 divisors (see below), whose sum is σ = 1251219312. Its totient is φ = 996019200.

The previous prime is 1120132093. The next prime is 1120132133. The reversal of 1120132117 is 7112310211.

It can be written as a sum of positive squares in 8 ways, for example, as 370139121 + 749992996 = 19239^2 + 27386^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1120132117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1120132094 and 1120132103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120130117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37053 + ... + 60109.

It is an arithmetic number, because the mean of its divisors is an integer number (78201207).

Almost surely, 21120132117 is an apocalyptic number.

It is an amenable number.

1120132117 is a deficient number, since it is larger than the sum of its proper divisors (131087195).

1120132117 is a wasteful number, since it uses less digits than its factorization.

1120132117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23208.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 1120132117 is about 33468.3748783833. The cubic root of 1120132117 is about 1038.5396530947.

Adding to 1120132117 its reverse (7112310211), we get a palindrome (8232442328).

The spelling of 1120132117 in words is "one billion, one hundred twenty million, one hundred thirty-two thousand, one hundred seventeen".

Divisors: 1 13 37 101 481 1313 3737 23057 48581 299741 853109 2328757 11090417 30273841 86164009 1120132117