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2131971 = 319113331
BaseRepresentation
bin1000001000100000000011
311000022111220
420020200003
51021210341
6113410123
724056442
oct10104003
94008456
102131971
111226866
12869943
1359852a
143d6d59
152c1a66
hex208803

2131971 has 16 divisors (see below), whose sum is σ = 3027840. Its totient is φ = 1330560.

The previous prime is 2131951. The next prime is 2131979. The reversal of 2131971 is 1791312.

It is not a de Polignac number, because 2131971 - 26 = 2131907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2131979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6276 + ... + 6606.

It is an arithmetic number, because the mean of its divisors is an integer number (189240).

22131971 is an apocalyptic number.

2131971 is a deficient number, since it is larger than the sum of its proper divisors (895869).

2131971 is a wasteful number, since it uses less digits than its factorization.

2131971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its digits is 378, while the sum is 24.

The square root of 2131971 is about 1460.1270492666. The cubic root of 2131971 is about 128.7045096463.

The spelling of 2131971 in words is "two million, one hundred thirty-one thousand, nine hundred seventy-one".

Divisors: 1 3 19 57 113 331 339 993 2147 6289 6441 18867 37403 112209 710657 2131971