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12765290924101 is a prime number
BaseRepresentation
bin1011100111000010011010…
…1000011000100001000101
31200012100110001222002200111
42321300212220120201011
53133121303434032401
643052143234313021
72455155544360312
oct271604650304105
950170401862614
1012765290924101
114081802a33101
121521bba128771
137179b97b6311
14321bb4327d09
151720c3e9be51
hexb9c26a18845

12765290924101 has 2 divisors, whose sum is σ = 12765290924102. Its totient is φ = 12765290924100.

The previous prime is 12765290924093. The next prime is 12765290924147. The reversal of 12765290924101 is 10142909256721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7843220330625 + 4922070593476 = 2800575^2 + 2218574^2 .

It is a cyclic number.

It is not a de Polignac number, because 12765290924101 - 23 = 12765290924093 is a prime.

It is a super-3 number, since 3×127652909241013 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12765290927101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6382645462050 + 6382645462051.

It is an arithmetic number, because the mean of its divisors is an integer number (6382645462051).

Almost surely, 212765290924101 is an apocalyptic number.

It is an amenable number.

12765290924101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12765290924101 is an equidigital number, since it uses as much as digits as its factorization.

12765290924101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 12765290924101 in words is "twelve trillion, seven hundred sixty-five billion, two hundred ninety million, nine hundred twenty-four thousand, one hundred one".