Search a number
-
+
211311010231 = 3197233301601
BaseRepresentation
bin1100010011001100011…
…1100010000110110111
3202012102121221112120021
43010303013202012313
511430231104311411
6241024104150011
721160324644136
oct3046307420667
9665377845507
10211311010231
1181686613642
1234b53768307
1316c077cac39
14a3283cd91d
15576b499a71
hex31331e21b7

211311010231 has 16 divisors (see below), whose sum is σ = 221322786048. Its totient is φ = 201517056000.

The previous prime is 211311010219. The next prime is 211311010243. The reversal of 211311010231 is 132010113112.

It is a happy number.

211311010231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211311010219) and next prime (211311010243).

It is a cyclic number.

It is not a de Polignac number, because 211311010231 - 227 = 211176792503 is a prime.

It is a super-2 number, since 2×2113110102312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311010331) 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 15 ways as a sum of consecutive naturals, for example, 549831 + ... + 851431.

It is an arithmetic number, because the mean of its divisors is an integer number (13832674128).

Almost surely, 2211311010231 is an apocalyptic number.

211311010231 is a deficient number, since it is larger than the sum of its proper divisors (10011775817).

211311010231 is a wasteful number, since it uses less digits than its factorization.

211311010231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301962.

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

Adding to 211311010231 its reverse (132010113112), we get a palindrome (343321123343).

The spelling of 211311010231 in words is "two hundred eleven billion, three hundred eleven million, ten thousand, two hundred thirty-one".

Divisors: 1 31 97 233 3007 7223 22601 301601 700631 9349631 29255297 70273033 906914207 2178464023 6816484201 211311010231