[go: up one dir, main page]

Search a number
-
+
2332101221 is a prime number
BaseRepresentation
bin1000101100000001…
…0000101001100101
320000112021000110022
42023000100221211
514234004214341
61023225004525
7111535350632
oct21300205145
96015230408
102332101221
11a9745718a
12551023745
132b2204668
14181a27189
15d9b12e4b
hex8b010a65

2332101221 has 2 divisors, whose sum is σ = 2332101222. Its totient is φ = 2332101220.

The previous prime is 2332101217. The next prime is 2332101223. The reversal of 2332101221 is 1221012332.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1268428225 + 1063672996 = 35615^2 + 32614^2 .

It is a cyclic number.

It is not a de Polignac number, because 2332101221 - 22 = 2332101217 is a prime.

It is a super-2 number, since 2×23321012212 = 10877392209979381682, which contains 22 as substring.

Together with 2332101223, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2332101221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2332101223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1166050610 + 1166050611.

It is an arithmetic number, because the mean of its divisors is an integer number (1166050611).

Almost surely, 22332101221 is an apocalyptic number.

It is an amenable number.

2332101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2332101221 is an equidigital number, since it uses as much as digits as its factorization.

2332101221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2332101221 is about 48291.8338955977. The cubic root of 2332101221 is about 1326.1189022198.

Adding to 2332101221 its reverse (1221012332), we get a palindrome (3553113553).

Subtracting from 2332101221 its reverse (1221012332), we obtain a square (1111088889 = 333332).

The spelling of 2332101221 in words is "two billion, three hundred thirty-two million, one hundred one thousand, two hundred twenty-one".