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3000213131141 is a prime number
BaseRepresentation
bin101011101010001010101…
…000110100111110000101
3101121211002000022110102002
4223222022220310332011
5343123414030144031
610214140123355045
7426521035561502
oct53521250647605
911554060273362
103000213131141
11a57424108316
12405565382a85
13189bc3a33cc5
14a52d53364a9
15530982e3ccb
hex2ba8aa34f85

3000213131141 has 2 divisors, whose sum is σ = 3000213131142. Its totient is φ = 3000213131140.

The previous prime is 3000213131093. The next prime is 3000213131161. The reversal of 3000213131141 is 1411313120003.

3000213131141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (3000213131161) can be obtained adding 3000213131141 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2282981990116 + 717231141025 = 1510954^2 + 846895^2 .

It is an emirp because it is prime and its reverse (1411313120003) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3000213131141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000213131161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500106565570 + 1500106565571.

It is an arithmetic number, because the mean of its divisors is an integer number (1500106565571).

Almost surely, 23000213131141 is an apocalyptic number.

It is an amenable number.

3000213131141 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000213131141 is an equidigital number, since it uses as much as digits as its factorization.

3000213131141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 3000213131141 its reverse (1411313120003), we get a palindrome (4411526251144).

The spelling of 3000213131141 in words is "three trillion, two hundred thirteen million, one hundred thirty-one thousand, one hundred forty-one".