Search a number
-
+
10332401041 is a prime number
BaseRepresentation
bin10011001111101101…
…11110110110010001
3222200002020100122001
421213312332312101
5132130043313131
64425135114001
7514021650124
oct114766766621
928602210561
1010332401041
114422409916
122004372901
13c88821091
1470036c3bb
1540716c261
hex267dbed91

10332401041 has 2 divisors, whose sum is σ = 10332401042. Its totient is φ = 10332401040.

The previous prime is 10332401017. The next prime is 10332401129. The reversal of 10332401041 is 14010423301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7961100625 + 2371300416 = 89225^2 + 48696^2 .

It is a cyclic number.

It is not a de Polignac number, because 10332401041 - 213 = 10332392849 is a prime.

It is a super-3 number, since 3×103324010413 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (10332401141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5166200520 + 5166200521.

It is an arithmetic number, because the mean of its divisors is an integer number (5166200521).

Almost surely, 210332401041 is an apocalyptic number.

It is an amenable number.

10332401041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10332401041 is an equidigital number, since it uses as much as digits as its factorization.

10332401041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10332401041 its reverse (14010423301), we get a palindrome (24342824342).

The spelling of 10332401041 in words is "ten billion, three hundred thirty-two million, four hundred one thousand, forty-one".