Search a number
-
+
211210234021 = 17739710916097
BaseRepresentation
bin1100010010110100011…
…1000110100010100101
3202012011121022120121001
43010231013012202211
511430024304442041
6241010104153301
721154662240013
oct3045507064245
9665147276531
10211210234021
1181634741a16
1234b25a68831
1316bbc975047
14a318c798b3
1557626e0131
hex312d1c68a5

211210234021 has 32 divisors (see below), whose sum is σ = 231150538080. Its totient is φ = 192249593856.

The previous prime is 211210234009. The next prime is 211210234061. The reversal of 211210234021 is 120432012112.

It can be written as a sum of positive squares in 16 ways, for example, as 1972603396 + 209237630625 = 44414^2 + 457425^2 .

It is a cyclic number.

It is not a de Polignac number, because 211210234021 - 25 = 211210233989 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211210234021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210234061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13113045 + ... + 13129141.

It is an arithmetic number, because the mean of its divisors is an integer number (7223454315).

Almost surely, 2211210234021 is an apocalyptic number.

It is an amenable number.

211210234021 is a deficient number, since it is larger than the sum of its proper divisors (19940304059).

211210234021 is a wasteful number, since it uses less digits than its factorization.

211210234021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16393.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 211210234021 its reverse (120432012112), we get a palindrome (331642246133).

The spelling of 211210234021 in words is "two hundred eleven billion, two hundred ten million, two hundred thirty-four thousand, twenty-one".

Divisors: 1 17 73 97 109 1241 1649 1853 7081 7957 10573 16097 120377 135269 179741 273649 771829 1175081 1561409 1754573 13121093 19976377 26543953 29827741 113982857 128083829 170193581 1937708569 2177425093 2893290877 12424131413 211210234021