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331001340601 is a prime number
BaseRepresentation
bin1001101000100010011…
…01111010001010111001
31011122101001102022012011
410310101031322022321
520410342320344401
6412020535245521
732625343654501
oct4642115721271
91148331368164
10331001340601
1111841669a348
12541978198a1
13252a07b0129
1412040566a01
158924181451
hex4d1137a2b9

331001340601 has 2 divisors, whose sum is σ = 331001340602. Its totient is φ = 331001340600.

The previous prime is 331001340583. The next prime is 331001340617. The reversal of 331001340601 is 106043100133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313766902201 + 17234438400 = 560149^2 + 131280^2 .

It is a cyclic number.

It is not a de Polignac number, because 331001340601 - 231 = 328853856953 is a prime.

It is a super-2 number, since 2×3310013406012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331001340001) 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, 165500670300 + 165500670301.

It is an arithmetic number, because the mean of its divisors is an integer number (165500670301).

Almost surely, 2331001340601 is an apocalyptic number.

It is an amenable number.

331001340601 is a deficient number, since it is larger than the sum of its proper divisors (1).

331001340601 is an equidigital number, since it uses as much as digits as its factorization.

331001340601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 331001340601 its reverse (106043100133), we get a palindrome (437044440734).

The spelling of 331001340601 in words is "three hundred thirty-one billion, one million, three hundred forty thousand, six hundred one".