Search a number
-
+
103301131320131 = 1072357409601669
BaseRepresentation
bin10111011111001110101011…
…001111001011101101000011
3111112202111021110021211221112
4113133032223033023231003
5102014441204104221011
61003411515023313535
730521155222322303
oct2737165317135503
9445674243254845
10103301131320131
112aa07844636768
12b70454ba4b8ab
134584340ca0234
141b71b311bd603
15be2175b9358b
hex5df3ab3cbb43

103301131320131 has 8 divisors (see below), whose sum is σ = 104310799688880. Its totient is φ = 102292282159648.

The previous prime is 103301131320097. The next prime is 103301131320169. The reversal of 103301131320131 is 131023131103301.

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 103301131320131 - 26 = 103301131320067 is a prime.

It is a super-2 number, since 2×1033011313201312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103301131320097 and 103301131320106.

It is not an unprimeable number, because it can be changed into a prime (103301131320631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204548636 + ... + 205053033.

It is an arithmetic number, because the mean of its divisors is an integer number (13038849961110).

Almost surely, 2103301131320131 is an apocalyptic number.

103301131320131 is a deficient number, since it is larger than the sum of its proper divisors (1009668368749).

103301131320131 is a wasteful number, since it uses less digits than its factorization.

103301131320131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409604133.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 103301131320131 its reverse (131023131103301), we get a palindrome (234324262423432).

The spelling of 103301131320131 in words is "one hundred three trillion, three hundred one billion, one hundred thirty-one million, three hundred twenty thousand, one hundred thirty-one".

Divisors: 1 107 2357 252199 409601669 43827378583 965431133833 103301131320131