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2113037 is a prime number
BaseRepresentation
bin1000000011111000001101
310222100112122
420003320031
51020104122
6113142325
723650313
oct10037015
93870478
102113037
111213613
1285a9a5
1358ca24
143d00b3
152bb142
hex203e0d

2113037 has 2 divisors, whose sum is σ = 2113038. Its totient is φ = 2113036.

The previous prime is 2113003. The next prime is 2113039. The reversal of 2113037 is 7303112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1503076 + 609961 = 1226^2 + 781^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113037 - 26 = 2112973 is a prime.

Together with 2113039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056518 + 1056519.

It is an arithmetic number, because the mean of its divisors is an integer number (1056519).

22113037 is an apocalyptic number.

It is an amenable number.

2113037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113037 is an equidigital number, since it uses as much as digits as its factorization.

2113037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 2113037 is about 1453.6289072525. The cubic root of 2113037 is about 128.3223685840.

Multiplying 2113037 by its product of nonzero digits (126), we get a palindrome (266242662).

Adding to 2113037 its reverse (7303112), we get a palindrome (9416149).

The spelling of 2113037 in words is "two million, one hundred thirteen thousand, thirty-seven".