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4010000213 is a prime number
BaseRepresentation
bin1110111100000011…
…1011111101010101
3101100110112010011102
43233000323331111
531203030001323
61501524115445
7201241303502
oct35700737525
911313463142
104010000213
1117785a456a
1293ab35b85
134bba133bb
142a07d84a9
1518709d328
hexef03bf55

4010000213 has 2 divisors, whose sum is σ = 4010000214. Its totient is φ = 4010000212.

The previous prime is 4010000209. The next prime is 4010000221. The reversal of 4010000213 is 3120000104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3541797169 + 468203044 = 59513^2 + 21638^2 .

It is a cyclic number.

It is not a de Polignac number, because 4010000213 - 22 = 4010000209 is a prime.

It is a super-3 number, since 3×40100002133 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4010000194 and 4010000203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4010000513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2005000106 + 2005000107.

It is an arithmetic number, because the mean of its divisors is an integer number (2005000107).

Almost surely, 24010000213 is an apocalyptic number.

It is an amenable number.

4010000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

4010000213 is an equidigital number, since it uses as much as digits as its factorization.

4010000213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4010000213 is about 63324.5624777621. The cubic root of 4010000213 is about 1588.7228134743.

Adding to 4010000213 its reverse (3120000104), we get a palindrome (7130000317).

The spelling of 4010000213 in words is "four billion, ten million, two hundred thirteen", and thus it is an aban number.