Search a number
-
+
331001299957 is a prime number
BaseRepresentation
bin1001101000100010011…
…01110000001111110101
31011122101001100020102211
410310101031300033311
520410342313044312
6412020534333421
732625343425136
oct4642115601765
91148331306384
10331001299957
11118416671859
12541977ba271
13252a0797793
1412040555c8d
1589241743a7
hex4d113703f5

331001299957 has 2 divisors, whose sum is σ = 331001299958. Its totient is φ = 331001299956.

The previous prime is 331001299943. The next prime is 331001299963. The reversal of 331001299957 is 759992100133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275799327556 + 55201972401 = 525166^2 + 234951^2 .

It is a cyclic number.

It is not a de Polignac number, because 331001299957 - 27 = 331001299829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331001299957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331001299157) 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, 165500649978 + 165500649979.

It is an arithmetic number, because the mean of its divisors is an integer number (165500649979).

Almost surely, 2331001299957 is an apocalyptic number.

It is an amenable number.

331001299957 is a deficient number, since it is larger than the sum of its proper divisors (1).

331001299957 is an equidigital number, since it uses as much as digits as its factorization.

331001299957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 459270, while the sum is 49.

The spelling of 331001299957 in words is "three hundred thirty-one billion, one million, two hundred ninety-nine thousand, nine hundred fifty-seven".