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2171140127 = 132192772441
BaseRepresentation
bin1000000101101000…
…1111100000011111
312121022101100100022
42001122033200133
513421302441002
6555235022355
7104542246412
oct20132174037
95538340308
102171140127
11a14608792
1250713a9bb
13287a68600
141684c7b79
15ca91aba2
hex8168f81f

2171140127 has 24 divisors (see below), whose sum is σ = 2484686160. Its totient is φ = 1891019520.

The previous prime is 2171140033. The next prime is 2171140151. The reversal of 2171140127 is 7210411712.

It is not a de Polignac number, because 2171140127 - 230 = 1097398303 is a prime.

It is a super-2 number, since 2×21711401272 = 9427698902139152258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2171140096 and 2171140105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171140627) 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, 888227 + ... + 890667.

It is an arithmetic number, because the mean of its divisors is an integer number (103528590).

Almost surely, 22171140127 is an apocalyptic number.

2171140127 is a deficient number, since it is larger than the sum of its proper divisors (313546033).

2171140127 is a wasteful number, since it uses less digits than its factorization.

2171140127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 26.

The square root of 2171140127 is about 46595.4947071066. The cubic root of 2171140127 is about 1294.8792892957.

Adding to 2171140127 its reverse (7210411712), we get a palindrome (9381551839).

The spelling of 2171140127 in words is "two billion, one hundred seventy-one million, one hundred forty thousand, one hundred twenty-seven".

Divisors: 1 13 19 169 247 277 2441 3211 3601 5263 31733 46379 46813 68419 412529 602927 676157 889447 7838051 8790041 12846983 114270533 167010779 2171140127