Search a number
-
+
31202013011101 is a prime number
BaseRepresentation
bin1110001100000110010001…
…11001101101110010011101
311002110212211221020102120021
413012003020321231302131
513042203210312323401
6150210001253352141
76400161653404252
oct706031071556235
9132425757212507
1031202013011101
119a3a776a01189
1235bb1ab038651
13145444caa858a
1479c284d99429
153919815972a1
hex1c60c8e6dc9d

31202013011101 has 2 divisors, whose sum is σ = 31202013011102. Its totient is φ = 31202013011100.

The previous prime is 31202013011083. The next prime is 31202013011129. The reversal of 31202013011101 is 10111031020213.

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., 19008989604900 + 12193023406201 = 4359930^2 + 3491851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31202013011101 is a prime.

It is a super-3 number, since 3×312020130111013 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31202013011201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15601006505550 + 15601006505551.

It is an arithmetic number, because the mean of its divisors is an integer number (15601006505551).

Almost surely, 231202013011101 is an apocalyptic number.

It is an amenable number.

31202013011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31202013011101 is an equidigital number, since it uses as much as digits as its factorization.

31202013011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 31202013011101 its reverse (10111031020213), we get a palindrome (41313044031314).

The spelling of 31202013011101 in words is "thirty-one trillion, two hundred two billion, thirteen million, eleven thousand, one hundred one".