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2122312021 is a prime number
BaseRepresentation
bin111111001111111…
…1110100101010101
312110220111121202221
41332133332211111
513321302441041
6550332302341
7103410232414
oct17637764525
95426447687
102122312021
11999a98485
124b29119b1
1327a90073b
14161c1747b
15c64c32d1
hex7e7fe955

2122312021 has 2 divisors, whose sum is σ = 2122312022. Its totient is φ = 2122312020.

The previous prime is 2122312009. The next prime is 2122312037. The reversal of 2122312021 is 1202132212.

It is a happy number.

It is an a-pointer prime, because the next prime (2122312037) can be obtained adding 2122312021 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2119589521 + 2722500 = 46039^2 + 1650^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122312021 is a prime.

It is a super-2 number, since 2×21223120212 = 9008416628962208882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2122311986 and 2122312004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122312121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061156010 + 1061156011.

It is an arithmetic number, because the mean of its divisors is an integer number (1061156011).

Almost surely, 22122312021 is an apocalyptic number.

It is an amenable number.

2122312021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122312021 is an equidigital number, since it uses as much as digits as its factorization.

2122312021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2122312021 is about 46068.5578350354. The cubic root of 2122312021 is about 1285.0984841777.

Adding to 2122312021 its reverse (1202132212), we get a palindrome (3324444233).

The spelling of 2122312021 in words is "two billion, one hundred twenty-two million, three hundred twelve thousand, twenty-one".