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211367152049 is a prime number
BaseRepresentation
bin1100010011011001110…
…1101100100110110001
3202012120112120211122212
43010312131230212301
511430334442331144
6241033431341505
721161606101664
oct3046635544661
9665515524585
10211367152049
1181705279839
1234b6a521895
1316c16326a51
14a331a456db
15577138949e
hex313676c9b1

211367152049 has 2 divisors, whose sum is σ = 211367152050. Its totient is φ = 211367152048.

The previous prime is 211367151997. The next prime is 211367152081. The reversal of 211367152049 is 940251763112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159175465024 + 52191687025 = 398968^2 + 228455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211367152049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211367151997 and 211367152015.

It is not a weakly prime, because it can be changed into another prime (213367152049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105683576024 + 105683576025.

It is an arithmetic number, because the mean of its divisors is an integer number (105683576025).

Almost surely, 2211367152049 is an apocalyptic number.

It is an amenable number.

211367152049 is a deficient number, since it is larger than the sum of its proper divisors (1).

211367152049 is an equidigital number, since it uses as much as digits as its factorization.

211367152049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 41.

The spelling of 211367152049 in words is "two hundred eleven billion, three hundred sixty-seven million, one hundred fifty-two thousand, forty-nine".