Search a number
-
+
332143043220953 is a prime number
BaseRepresentation
bin100101110000101010001010…
…0000110110001010111011001
31121120000120020202112201101122
41023201110110012301113121
5322013312423031032303
63134224224013055025
7126650354146041056
oct11341242406612731
91546016222481348
10332143043220953
1196916089a46438
1231303669187475
1311343c542a5573
145c03b4811802d
15285ec095b6e38
hex12e15141b15d9

332143043220953 has 2 divisors, whose sum is σ = 332143043220954. Its totient is φ = 332143043220952.

The previous prime is 332143043220869. The next prime is 332143043221027. The reversal of 332143043220953 is 359022340341233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331963917895129 + 179125325824 = 18219877^2 + 423232^2 .

It is a cyclic number.

It is not a de Polignac number, because 332143043220953 - 28 = 332143043220697 is a prime.

It is a super-3 number, since 3×3321430432209533 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (332143043229953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166071521610476 + 166071521610477.

It is an arithmetic number, because the mean of its divisors is an integer number (166071521610477).

Almost surely, 2332143043220953 is an apocalyptic number.

It is an amenable number.

332143043220953 is a deficient number, since it is larger than the sum of its proper divisors (1).

332143043220953 is an equidigital number, since it uses as much as digits as its factorization.

332143043220953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1399680, while the sum is 44.

The spelling of 332143043220953 in words is "three hundred thirty-two trillion, one hundred forty-three billion, forty-three million, two hundred twenty thousand, nine hundred fifty-three".