Search a number
-
+
331003114357 is a prime number
BaseRepresentation
bin1001101000100010101…
…00101011001101110101
31011122101011202102022211
410310101110223031311
520410343244124412
6412021041253421
732625365023006
oct4642124531565
91148334672284
10331003114357
111184176a0a63
1254198334271
13252a0c815a6
14120408a91ad
1589243d1ca7
hex4d1152b375

331003114357 has 2 divisors, whose sum is σ = 331003114358. Its totient is φ = 331003114356.

The previous prime is 331003114303. The next prime is 331003114423. The reversal of 331003114357 is 753411300133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 329023843236 + 1979271121 = 573606^2 + 44489^2 .

It is an emirp because it is prime and its reverse (753411300133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331003114357 - 215 = 331003081589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331003114957) 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, 165501557178 + 165501557179.

It is an arithmetic number, because the mean of its divisors is an integer number (165501557179).

Almost surely, 2331003114357 is an apocalyptic number.

It is an amenable number.

331003114357 is a deficient number, since it is larger than the sum of its proper divisors (1).

331003114357 is an equidigital number, since it uses as much as digits as its factorization.

331003114357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 31.

The spelling of 331003114357 in words is "three hundred thirty-one billion, three million, one hundred fourteen thousand, three hundred fifty-seven".