Search a number
-
+
1010321130241 = 3769317393929
BaseRepresentation
bin11101011001110111101…
…01010000001100000001
310120120211000110011111001
432230323311100030001
5113023114202131431
62052045104052001
7132664461624523
oct16547365201401
93516730404431
101010321130241
1135a524a368a5
12143982604001
13743716717b7
1436c850bda13
151b432908e61
hexeb3bd50301

1010321130241 has 8 divisors (see below), whose sum is σ = 1037644710120. Its totient is φ = 982998476928.

The previous prime is 1010321130211. The next prime is 1010321130283. The reversal of 1010321130241 is 1420311230101.

It can be written as a sum of positive squares in 4 ways, for example, as 58525770241 + 951795360000 = 241921^2 + 975600^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010321130241 - 29 = 1010321129729 is a prime.

It is a super-2 number, since 2×10103211302412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010321130211) 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 in 7 ways as a sum of consecutive naturals, for example, 2367765 + ... + 2761693.

It is an arithmetic number, because the mean of its divisors is an integer number (129705588765).

Almost surely, 21010321130241 is an apocalyptic number.

It is an amenable number.

1010321130241 is a deficient number, since it is larger than the sum of its proper divisors (27323579879).

1010321130241 is an equidigital number, since it uses as much as digits as its factorization.

1010321130241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463283.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1010321130241 its reverse (1420311230101), we get a palindrome (2430632360342).

The spelling of 1010321130241 in words is "one trillion, ten billion, three hundred twenty-one million, one hundred thirty thousand, two hundred forty-one".

Divisors: 1 37 69317 393929 2564729 14575373 27305976493 1010321130241