Search a number
-
+
211331003031 = 3273585754919
BaseRepresentation
bin1100010011010001001…
…1110011001010010111
3202012111000120021112100
43010310103303022113
511430301214044111
6241030100453143
721160656613161
oct3046423631227
9665430507470
10211331003031
1181696929515
1234b5a3aa1b3
1316c0b9aacb5
14a32ad15931
15576d0e8756
hex31344f3297

211331003031 has 24 divisors (see below), whose sum is σ = 309495948320. Its totient is φ = 138931117056.

The previous prime is 211331002951. The next prime is 211331003077. The reversal of 211331003031 is 130300133112.

It is a happy number.

211331003031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211331003031 - 27 = 211331002903 is a prime.

It is a super-2 number, since 2×2113310030312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211331002995 and 211331003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211331003231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3820590 + ... + 3875508.

Almost surely, 2211331003031 is an apocalyptic number.

211331003031 is a deficient number, since it is larger than the sum of its proper divisors (98164945289).

211331003031 is a wasteful number, since it uses less digits than its factorization.

211331003031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60855 (or 60852 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 211331003031 its reverse (130300133112), we get a palindrome (341631136143).

The spelling of 211331003031 in words is "two hundred eleven billion, three hundred thirty-one million, three thousand, thirty-one".

Divisors: 1 3 9 73 219 657 5857 17571 52713 54919 164757 427561 494271 1282683 3848049 4009087 12027261 36081783 321660583 964981749 2894945247 23481222559 70443667677 211331003031