Search a number
-
+
211222310031 = 32236011697833
BaseRepresentation
bin1100010010110111010…
…1001010110010001111
3202012012110001002202200
43010231311022302033
511430040402410111
6241011215052543
721155200004025
oct3045565126217
9665173032680
10211222310031
118164053a897
1234b29b11153
1316bc2312805
14a31a700715
1557637c8256
hex312dd4ac8f

211222310031 has 24 divisors (see below), whose sum is σ = 318893973216. Its totient is φ = 134468294400.

The previous prime is 211222310029. The next prime is 211222310051. The reversal of 211222310031 is 130013222112.

It is not a de Polignac number, because 211222310031 - 21 = 211222310029 is a prime.

It is a super-4 number, since 4×2112223100314 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 211222309986 and 211222310013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222310051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724510 + ... + 973323.

It is an arithmetic number, because the mean of its divisors is an integer number (13287248884).

Almost surely, 2211222310031 is an apocalyptic number.

211222310031 is a deficient number, since it is larger than the sum of its proper divisors (107671663185).

211222310031 is a wasteful number, since it uses less digits than its factorization.

211222310031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698463 (or 1698460 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211222310031 its reverse (130013222112), we get a palindrome (341235532143).

The spelling of 211222310031 in words is "two hundred eleven billion, two hundred twenty-two million, three hundred ten thousand, thirty-one".

Divisors: 1 3 9 23 69 207 601 1803 5409 13823 41469 124407 1697833 5093499 15280497 39050159 117150477 351451431 1020397633 3061192899 9183578697 23469145559 70407436677 211222310031