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211311031323 = 3722953935257
BaseRepresentation
bin1100010011001100011…
…1100111010000011011
3202012102121222121111110
43010303013213100123
511430231111000243
6241024104431403
721160325062500
oct3046307472033
9665377877443
10211311031323
1181686628477
1234b53778563
1316c07807712
14a3283d74a7
15576b4a0e33
hex31331e741b

211311031323 has 48 divisors (see below), whose sum is σ = 345446894880. Its totient is φ = 114385549824.

The previous prime is 211311031307. The next prime is 211311031357. The reversal of 211311031323 is 323130113112.

It is a happy number.

211311031323 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 211311031323 - 24 = 211311031307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 211311031323.

It is not an unprimeable number, because it can be changed into a prime (211311031303) 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 47 ways as a sum of consecutive naturals, for example, 241690 + ... + 693567.

It is an arithmetic number, because the mean of its divisors is an integer number (7196810310).

Almost surely, 2211311031323 is an apocalyptic number.

211311031323 is a deficient number, since it is larger than the sum of its proper divisors (134135863557).

211311031323 is a wasteful number, since it uses less digits than its factorization.

211311031323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935356 (or 935349 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 211311031323 its reverse (323130113112), we get a palindrome (534441144435).

The spelling of 211311031323 in words is "two hundred eleven billion, three hundred eleven million, thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 21 29 49 53 87 147 159 203 371 609 1113 1421 1537 2597 4263 4611 7791 10759 32277 75313 225939 935257 2805771 6546799 19640397 27122453 45827593 49568621 81367359 137482779 148705863 189857171 346980347 569571513 1040941041 1329000197 1437490009 2428862429 3987000591 4312470027 7286587287 10062430063 30187290189 70437010441 211311031323