Search a number
-
+
2121132421 is a prime number
BaseRepresentation
bin111111001101101…
…1110100110000101
312110211021200200001
41332123132212011
513321002214141
6550251121301
7103364220352
oct17633364605
95424250601
102121132421
11999362201
124b2443231
1327a5a9855
141619cb629
15c633da31
hex7e6de985

2121132421 has 2 divisors, whose sum is σ = 2121132422. Its totient is φ = 2121132420.

The previous prime is 2121132401. The next prime is 2121132439. The reversal of 2121132421 is 1242311212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2038522500 + 82609921 = 45150^2 + 9089^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121132421 - 223 = 2112743813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2121132401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060566210 + 1060566211.

It is an arithmetic number, because the mean of its divisors is an integer number (1060566211).

Almost surely, 22121132421 is an apocalyptic number.

It is an amenable number.

2121132421 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121132421 is an equidigital number, since it uses as much as digits as its factorization.

2121132421 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2121132421 is about 46055.7533973770. The cubic root of 2121132421 is about 1284.8603503101.

Adding to 2121132421 its reverse (1242311212), we get a palindrome (3363443633).

The spelling of 2121132421 in words is "two billion, one hundred twenty-one million, one hundred thirty-two thousand, four hundred twenty-one".