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1161105741 = 322910094409
BaseRepresentation
bin100010100110101…
…0001000101001101
32222220211021122100
41011031101011031
54334220340431
6311114305313
740526143635
oct10515210515
92886737570
101161105741
11546460a24
12284a28239
13156727023
14b02c76c5
156be064e6
hex4535114d

1161105741 has 24 divisors (see below), whose sum is σ = 1737099000. Its totient is φ = 746468352.

The previous prime is 1161105731. The next prime is 1161105767. The reversal of 1161105741 is 1475011611.

1161105741 is a `hidden beast` number, since 1 + 1 + 611 + 0 + 5 + 7 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3132900 + 1157972841 = 1770^2 + 34029^2 .

It is not a de Polignac number, because 1161105741 - 27 = 1161105613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161105721) 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 23 ways as a sum of consecutive naturals, for example, 261145 + ... + 265553.

It is an arithmetic number, because the mean of its divisors is an integer number (72379125).

Almost surely, 21161105741 is an apocalyptic number.

It is an amenable number.

1161105741 is a deficient number, since it is larger than the sum of its proper divisors (575993259).

1161105741 is a wasteful number, since it uses less digits than its factorization.

1161105741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5450 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The square root of 1161105741 is about 34075.0017021276. The cubic root of 1161105741 is about 1051.0513252278.

The spelling of 1161105741 in words is "one billion, one hundred sixty-one million, one hundred five thousand, seven hundred forty-one".

Divisors: 1 3 9 29 87 261 1009 3027 4409 9081 13227 29261 39681 87783 127861 263349 383583 1150749 4448681 13346043 40038129 129011749 387035247 1161105741