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162107127 = 32713197933
BaseRepresentation
bin10011010100110…
…00111011110111
3102022000220011200
421222120323313
5312444412002
624030303543
74005613350
oct1152307367
9368026150
10162107127
1183561536
1246357bb3
132777a8a0
141775ad27
15e371b1c
hex9a98ef7

162107127 has 24 divisors (see below), whose sum is σ = 288191904. Its totient is φ = 85506624.

The previous prime is 162107123. The next prime is 162107137. The reversal of 162107127 is 721701261.

It is not a de Polignac number, because 162107127 - 22 = 162107123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 162107127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162107123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98148 + ... + 99785.

It is an arithmetic number, because the mean of its divisors is an integer number (12007996).

Almost surely, 2162107127 is an apocalyptic number.

162107127 is a deficient number, since it is larger than the sum of its proper divisors (126084777).

162107127 is a wasteful number, since it uses less digits than its factorization.

162107127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197959 (or 197956 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 162107127 is about 12732.1297118746. The cubic root of 162107127 is about 545.2563135193.

Adding to 162107127 its reverse (721701261), we get a palindrome (883808388).

The spelling of 162107127 in words is "one hundred sixty-two million, one hundred seven thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 197933 593799 1385531 1781397 2573129 4156593 7719387 12469779 18011903 23158161 54035709 162107127