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130819656049 is a prime number
BaseRepresentation
bin111100111010101110…
…1011000100101110001
3110111200001021002100021
41321311131120211301
54120404312443144
6140033035123441
712310555505065
oct1716535304561
9414601232307
10130819656049
1150531315925
122142b2a3581
13c44a94a404
1464902adaa5
153609cbe884
hex1e75758971

130819656049 has 2 divisors, whose sum is σ = 130819656050. Its totient is φ = 130819656048.

The previous prime is 130819655987. The next prime is 130819656103. The reversal of 130819656049 is 940656918031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88935168400 + 41884487649 = 298220^2 + 204657^2 .

It is a cyclic number.

It is not a de Polignac number, because 130819656049 - 215 = 130819623281 is a prime.

It is a super-2 number, since 2×1308196560492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130819655987 and 130819656005.

It is not a weakly prime, because it can be changed into another prime (130819456049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65409828024 + 65409828025.

It is an arithmetic number, because the mean of its divisors is an integer number (65409828025).

Almost surely, 2130819656049 is an apocalyptic number.

It is an amenable number.

130819656049 is a deficient number, since it is larger than the sum of its proper divisors (1).

130819656049 is an equidigital number, since it uses as much as digits as its factorization.

130819656049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 130819656049 in words is "one hundred thirty billion, eight hundred nineteen million, six hundred fifty-six thousand, forty-nine".