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2132131 = 79137197
BaseRepresentation
bin1000001000100010100011
311000022201211
420020202203
51021212011
6113410551
724060061
oct10104243
94008654
102132131
1112269a1
12869a57
13598621
143d7031
152c1b21
hex2088a3

2132131 has 8 divisors (see below), whose sum is σ = 2185920. Its totient is φ = 2079168.

The previous prime is 2132129. The next prime is 2132147. The reversal of 2132131 is 1312312.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2132131 - 21 = 2132129 is a prime.

It is a super-2 number, since 2×21321312 = 9091965202322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2132171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10725 + ... + 10921.

It is an arithmetic number, because the mean of its divisors is an integer number (273240).

22132131 is an apocalyptic number.

2132131 is the 924-th centered pentagonal number and also the 781-st centered heptagonal number.

2132131 is a deficient number, since it is larger than the sum of its proper divisors (53789).

2132131 is a wasteful number, since it uses less digits than its factorization.

2132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413.

The product of its digits is 36, while the sum is 13.

The square root of 2132131 is about 1460.1818379914. The cubic root of 2132131 is about 128.7077292345.

Adding to 2132131 its reverse (1312312), we get a palindrome (3444443).

The spelling of 2132131 in words is "two million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 79 137 197 10823 15563 26989 2132131