Search a number
-
+
211112011200329 is a prime number
BaseRepresentation
bin110000000000000101011000…
…011011110111011101001001
31000200111010000001010021102222
4300000011120123313131021
5210132324344331402304
62024555304041503425
762316224304142331
oct6000053033673511
91020433001107388
10211112011200329
11612a31127099a8
121b816b094a1b75
1390a4a147791a5
143a1bc395120c1
1519617941b74be
hexc001586f7749

211112011200329 has 2 divisors, whose sum is σ = 211112011200330. Its totient is φ = 211112011200328.

The previous prime is 211112011200283. The next prime is 211112011200367. The reversal of 211112011200329 is 923002110211112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207141954950329 + 3970056250000 = 14392427^2 + 1992500^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211112011200329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211112011200298 and 211112011200307.

It is not a weakly prime, because it can be changed into another prime (211112011290329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105556005600164 + 105556005600165.

It is an arithmetic number, because the mean of its divisors is an integer number (105556005600165).

Almost surely, 2211112011200329 is an apocalyptic number.

It is an amenable number.

211112011200329 is a deficient number, since it is larger than the sum of its proper divisors (1).

211112011200329 is an equidigital number, since it uses as much as digits as its factorization.

211112011200329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 211112011200329 in words is "two hundred eleven trillion, one hundred twelve billion, eleven million, two hundred thousand, three hundred twenty-nine".