Search a number
-
+
1022211821 is a prime number
BaseRepresentation
bin111100111011011…
…011011011101101
32122020110202000002
4330323123123231
54043141234241
6245233314045
734221441251
oct7473333355
92566422002
101022211821
11485014964
12246405925
13133a16287
1499a90261
155eb1c89b
hex3cedb6ed

1022211821 has 2 divisors, whose sum is σ = 1022211822. Its totient is φ = 1022211820.

The previous prime is 1022211791. The next prime is 1022211823. The reversal of 1022211821 is 1281122201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 600936196 + 421275625 = 24514^2 + 20525^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022211821 - 214 = 1022195437 is a prime.

Together with 1022211823, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022211793 and 1022211802.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1022211823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511105910 + 511105911.

It is an arithmetic number, because the mean of its divisors is an integer number (511105911).

Almost surely, 21022211821 is an apocalyptic number.

It is an amenable number.

1022211821 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022211821 is an equidigital number, since it uses as much as digits as its factorization.

1022211821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1022211821 is about 31972.0474946476. The cubic root of 1022211821 is about 1007.3497885972.

The spelling of 1022211821 in words is "one billion, twenty-two million, two hundred eleven thousand, eight hundred twenty-one".