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2000313 = 32731751
BaseRepresentation
bin111101000010110111001
310202121220200
413220112321
51003002223
6110512413
723000550
oct7502671
93677820
102000313
111146957
12805709
13550623
143a0d97
15297a43
hex1e85b9

2000313 has 12 divisors (see below), whose sum is σ = 3302208. Its totient is φ = 1143000.

The previous prime is 2000309. The next prime is 2000321. The reversal of 2000313 is 3130002.

It is a happy number.

It is not a de Polignac number, because 2000313 - 22 = 2000309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2000295 and 2000304.

It is not an unprimeable number, because it can be changed into a prime (2000303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15813 + ... + 15938.

It is an arithmetic number, because the mean of its divisors is an integer number (275184).

22000313 is an apocalyptic number.

It is an amenable number.

2000313 is a deficient number, since it is larger than the sum of its proper divisors (1301895).

2000313 is a wasteful number, since it uses less digits than its factorization.

2000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31764 (or 31761 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2000313 is about 1414.3242202550. The cubic root of 2000313 is about 125.9986772348.

Adding to 2000313 its reverse (3130002), we get a palindrome (5130315).

The spelling of 2000313 in words is "two million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 31751 95253 222257 285759 666771 2000313