Search a number
-
+
130407366949 = 1018293155693
BaseRepresentation
bin111100101110011100…
…0101000000100100101
3110110121022110122000121
41321130320220010211
54114033241220244
6135524110241541
712264421221046
oct1713470500445
9413538418017
10130407366949
115033a616a32
12213351b62b1
13c3b33c5372
14645162a8cd
1535d39cec84
hex1e5ce28125

130407366949 has 8 divisors (see below), whose sum is σ = 131715255672. Its totient is φ = 129099806400.

The previous prime is 130407366893. The next prime is 130407366961. The reversal of 130407366949 is 949663704031.

It can be written as a sum of positive squares in 4 ways, for example, as 32152076100 + 98255290849 = 179310^2 + 313457^2 .

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 130407366949 - 29 = 130407366437 is a prime.

It is a super-2 number, since 2×1304073669492 (a number of 23 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 = 130407366896 and 130407366905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130407366449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 759747 + ... + 915439.

It is an arithmetic number, because the mean of its divisors is an integer number (16464406959).

Almost surely, 2130407366949 is an apocalyptic number.

It is an amenable number.

130407366949 is a deficient number, since it is larger than the sum of its proper divisors (1307888723).

130407366949 is a wasteful number, since it uses less digits than its factorization.

130407366949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164087.

The product of its (nonzero) digits is 2939328, while the sum is 52.

The spelling of 130407366949 in words is "one hundred thirty billion, four hundred seven million, three hundred sixty-six thousand, nine hundred forty-nine".

Divisors: 1 101 8293 155693 837593 15724993 1291162049 130407366949