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2142141 = 37189113
BaseRepresentation
bin1000001010111110111101
311000211110120
420022332331
51022022031
6113525153
724131211
oct10127675
94024416
102142141
111233471
128737b9
135a0051
143da941
152c4a96
hex20afbd

2142141 has 16 divisors (see below), whose sum is σ = 2954880. Its totient is φ = 1379840.

The previous prime is 2142121. The next prime is 2142149. The reversal of 2142141 is 1412412.

2142141 = 1092 + 1102 + ... + 1972.

It is a 5-Lehmer number, since φ(2142141) divides (2142141-1)5.

It is a cyclic number.

It is not a de Polignac number, because 2142141 - 213 = 2133949 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2142141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18901 + ... + 19013.

It is an arithmetic number, because the mean of its divisors is an integer number (184680).

It is a Poulet number, since it divides 22142140-1.

22142141 is an apocalyptic number.

It is an amenable number.

2142141 is a deficient number, since it is larger than the sum of its proper divisors (812739).

2142141 is a wasteful number, since it uses less digits than its factorization.

2142141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its digits is 64, while the sum is 15.

The square root of 2142141 is about 1463.6054796290. The cubic root of 2142141 is about 128.9088352943.

Adding to 2142141 its reverse (1412412), we get a palindrome (3554553).

The spelling of 2142141 in words is "two million, one hundred forty-two thousand, one hundred forty-one".

Divisors: 1 3 71 89 113 213 267 339 6319 8023 10057 18957 24069 30171 714047 2142141