Search a number
-
+
332371010137 is a prime number
BaseRepresentation
bin1001101011000101101…
…10110010001001011001
31011202220111200201120111
410311202312302021121
520421143434311022
6412404504124321
733004314654235
oct4654266621131
91152814621514
10332371010137
11118a59852341
12544ba4666a1
132545b49c38a
14121304215c5
1589a4534477
hex4d62db2259

332371010137 has 2 divisors, whose sum is σ = 332371010138. Its totient is φ = 332371010136.

The previous prime is 332371010129. The next prime is 332371010243. The reversal of 332371010137 is 731010173233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 264056210496 + 68314799641 = 513864^2 + 261371^2 .

It is a cyclic number.

It is not a de Polignac number, because 332371010137 - 23 = 332371010129 is a prime.

It is a super-2 number, since 2×3323710101372 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332371010099 and 332371010108.

It is not a weakly prime, because it can be changed into another prime (332371010117) 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, 166185505068 + 166185505069.

It is an arithmetic number, because the mean of its divisors is an integer number (166185505069).

Almost surely, 2332371010137 is an apocalyptic number.

It is an amenable number.

332371010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

332371010137 is an equidigital number, since it uses as much as digits as its factorization.

332371010137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 31.

The spelling of 332371010137 in words is "three hundred thirty-two billion, three hundred seventy-one million, ten thousand, one hundred thirty-seven".