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2010000213 = 321343399523
BaseRepresentation
bin111011111001110…
…0010101101010101
312012002011120221100
41313303202231111
513104030001323
6531241140313
7100544501634
oct16763425525
95162146840
102010000213
11941657a01
1248118a699
13260569050
14150d3d51b
15bb6da943
hex77ce2b55

2010000213 has 24 divisors (see below), whose sum is σ = 3199388192. Its totient is φ = 1208154528.

The previous prime is 2010000197. The next prime is 2010000229. The reversal of 2010000213 is 3120000102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2010000197) and next prime (2010000229).

It is not a de Polignac number, because 2010000213 - 24 = 2010000197 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 = 2010000195 and 2010000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010000263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194731 + ... + 204792.

Almost surely, 22010000213 is an apocalyptic number.

It is an amenable number.

2010000213 is a deficient number, since it is larger than the sum of its proper divisors (1189387979).

2010000213 is a wasteful number, since it uses less digits than its factorization.

2010000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399585 (or 399582 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2010000213 is about 44833.0259184008. The cubic root of 2010000213 is about 1262.0174727987.

Adding to 2010000213 its reverse (3120000102), we get a palindrome (5130000315).

The spelling of 2010000213 in words is "two billion, ten million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 13 39 43 117 129 387 559 1677 5031 399523 1198569 3595707 5193799 15581397 17179489 46744191 51538467 154615401 223333357 670000071 2010000213