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10261814959397 is a prime number
BaseRepresentation
bin1001010101010100001111…
…0101011101110100100101
31100100000112112021020022102
42111111003311131310211
52321112144112200042
633454113540141445
72106251224646651
oct225250365356445
940300475236272
1010261814959397
1132a7014024121
121198985097885
135958b9c31941
14276962b51a61
1512be0012ab32
hex95543d5dd25

10261814959397 has 2 divisors, whose sum is σ = 10261814959398. Its totient is φ = 10261814959396.

The previous prime is 10261814959387. The next prime is 10261814959481. The reversal of 10261814959397 is 79395941816201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8918740253476 + 1343074705921 = 2986426^2 + 1158911^2 .

It is a cyclic number.

It is not a de Polignac number, because 10261814959397 - 216 = 10261814893861 is a prime.

It is a super-4 number, since 4×102618149593974 (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10261814959367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5130907479698 + 5130907479699.

It is an arithmetic number, because the mean of its divisors is an integer number (5130907479699).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10261814959397 = 20523629918794, but 3⋅10261814959397 = 30785444878191 is not.

Almost surely, 210261814959397 is an apocalyptic number.

It is an amenable number.

10261814959397 is a deficient number, since it is larger than the sum of its proper divisors (1).

10261814959397 is an equidigital number, since it uses as much as digits as its factorization.

10261814959397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29393280, while the sum is 65.

The spelling of 10261814959397 in words is "ten trillion, two hundred sixty-one billion, eight hundred fourteen million, nine hundred fifty-nine thousand, three hundred ninety-seven".