Search a number
-
+
211311431143001 = 743733395735897
BaseRepresentation
bin110000000010111111000110…
…110010100100111001011001
31000201012011201221220222212122
4300002333012302210321121
5210144111302333034001
62025231044211151025
762336514152530160
oct6002770662447131
91021164657828778
10211311431143001
116136a747003482
121b8496a28a5475
1390ba775862a77
143a2775655c3d7
151966a6675cb1b
hexc02fc6ca4e59

211311431143001 has 16 divisors (see below), whose sum is σ = 247148730728064. Its totient is φ = 176887768546944.

The previous prime is 211311431142979. The next prime is 211311431143031. The reversal of 211311431143001 is 100341134113112.

It is a happy number.

It is not a de Polignac number, because 211311431143001 - 242 = 206913384631897 is a prime.

It is a super-2 number, since 2×2113114311430012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211311431143031) 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 in 15 ways as a sum of consecutive naturals, for example, 45660716 + ... + 50075181.

It is an arithmetic number, because the mean of its divisors is an integer number (15446795670504).

Almost surely, 2211311431143001 is an apocalyptic number.

It is an amenable number.

211311431143001 is a deficient number, since it is larger than the sum of its proper divisors (35837299585063).

211311431143001 is an equidigital number, since it uses as much as digits as its factorization.

211311431143001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95743280.

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 211311431143001 its reverse (100341134113112), we get a palindrome (311652565256113).

The spelling of 211311431143001 in words is "two hundred eleven trillion, three hundred eleven billion, four hundred thirty-one million, one hundred forty-three thousand, one".

Divisors: 1 7 43 301 7333 51331 315319 2207233 95735897 670151279 4116643571 28816504997 702031332701 4914219328907 30187347306143 211311431143001