Search a number
-
+
312113101 is a prime number
BaseRepresentation
bin10010100110100…
…111011111001101
3210202021222200111
4102212213133031
51114400104401
650545400021
710506626506
oct2246473715
9722258614
10312113101
111501a8213
1288639011
134c87c411
142d647bad
151c602e51
hex129a77cd

312113101 has 2 divisors, whose sum is σ = 312113102. Its totient is φ = 312113100.

The previous prime is 312113083. The next prime is 312113111. The reversal of 312113101 is 101311213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 297597001 + 14516100 = 17251^2 + 3810^2 .

It is a cyclic number.

It is not a de Polignac number, because 312113101 - 27 = 312112973 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312113111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056550 + 156056551.

It is an arithmetic number, because the mean of its divisors is an integer number (156056551).

Almost surely, 2312113101 is an apocalyptic number.

It is an amenable number.

312113101 is a deficient number, since it is larger than the sum of its proper divisors (1).

312113101 is an equidigital number, since it uses as much as digits as its factorization.

312113101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 312113101 is about 17666.7229841870. The cubic root of 312113101 is about 678.3242337030.

Adding to 312113101 its reverse (101311213), we get a palindrome (413424314).

The spelling of 312113101 in words is "three hundred twelve million, one hundred thirteen thousand, one hundred one".