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105342601213 is a prime number
BaseRepresentation
bin110001000011011101…
…0001000011111111101
3101001220111200121022201
41202012322020133331
53211220201214323
6120221013311501
710416326223223
oct1420672103775
9331814617281
10105342601213
1140748174503
12184bb035591
139c1a633935
145154824b13
152b182b78ad
hex1886e887fd

105342601213 has 2 divisors, whose sum is σ = 105342601214. Its totient is φ = 105342601212.

The previous prime is 105342601207. The next prime is 105342601241. The reversal of 105342601213 is 312106243501.

It is an a-pointer prime, because the next prime (105342601241) can be obtained adding 105342601213 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105119905284 + 222695929 = 324222^2 + 14923^2 .

It is a cyclic number.

It is not a de Polignac number, because 105342601213 - 229 = 104805730301 is a prime.

It is a super-2 number, since 2×1053426012132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105342601253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52671300606 + 52671300607.

It is an arithmetic number, because the mean of its divisors is an integer number (52671300607).

Almost surely, 2105342601213 is an apocalyptic number.

It is an amenable number.

105342601213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105342601213 is an equidigital number, since it uses as much as digits as its factorization.

105342601213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 105342601213 its reverse (312106243501), we get a palindrome (417448844714).

The spelling of 105342601213 in words is "one hundred five billion, three hundred forty-two million, six hundred one thousand, two hundred thirteen".