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3101621383313 is a prime number
BaseRepresentation
bin101101001000100111000…
…010100111000010010001
3101222111211022211102110122
4231020213002213002101
5401304110033231223
610332510514240025
7440041032522455
oct55104702470221
911874738742418
103101621383313
11a96432459092
12421146886015
1319663522134b
14aa195416665
1555a30ea35c8
hex2d2270a7091

3101621383313 has 2 divisors, whose sum is σ = 3101621383314. Its totient is φ = 3101621383312.

The previous prime is 3101621383171. The next prime is 3101621383397. The reversal of 3101621383313 is 3133831261013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3004231825984 + 97389557329 = 1733272^2 + 312073^2 .

It is a cyclic number.

It is not a de Polignac number, because 3101621383313 - 216 = 3101621317777 is a prime.

It is not a weakly prime, because it can be changed into another prime (3101621382313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1550810691656 + 1550810691657.

It is an arithmetic number, because the mean of its divisors is an integer number (1550810691657).

Almost surely, 23101621383313 is an apocalyptic number.

It is an amenable number.

3101621383313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3101621383313 is an equidigital number, since it uses as much as digits as its factorization.

3101621383313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 3101621383313 in words is "three trillion, one hundred one billion, six hundred twenty-one million, three hundred eighty-three thousand, three hundred thirteen".