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161105035141 = 1724194114449
BaseRepresentation
bin1001011000001010011…
…0111011111110000101
3120101211200112202020101
42112002212323332011
510114420342111031
6202002144004101
714432222130001
oct2260246737605
9511750482211
10161105035141
1162362657446
1227281900631
131226619137b
147b245a3701
1542cd9ba361
hex25829bbf85

161105035141 has 24 divisors (see below), whose sum is σ = 175511838600. Its totient is φ = 147762585600.

The previous prime is 161105035123. The next prime is 161105035219. The reversal of 161105035141 is 141530501161.

It can be written as a sum of positive squares in 12 ways, for example, as 40068900 + 161064966241 = 6330^2 + 401329^2 .

It is a de Polignac number, because none of the positive numbers 2k-161105035141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161105035241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11142685 + ... + 11157133.

It is an arithmetic number, because the mean of its divisors is an integer number (7312993275).

Almost surely, 2161105035141 is an apocalyptic number.

It is an amenable number.

161105035141 is a deficient number, since it is larger than the sum of its proper divisors (14406803459).

161105035141 is a wasteful number, since it uses less digits than its factorization.

161105035141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15465 (or 15448 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 161105035141 in words is "one hundred sixty-one billion, one hundred five million, thirty-five thousand, one hundred forty-one".

Divisors: 1 17 41 289 697 941 11849 14449 15997 38581 245633 271949 592409 655877 4175761 10070953 11149909 13596509 171206201 231140653 557456869 3929391101 9476766773 161105035141