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10414441397 is a prime number
BaseRepresentation
bin10011011001011111…
…11100001110110101
3222212210121102211202
421230233330032311
5132312044111042
64441225342245
7516036201623
oct115457741665
928783542752
1010414441397
114464753a68
122027937985
13c9c817079
1470b206513
1540e475632
hex26cbfc3b5

10414441397 has 2 divisors, whose sum is σ = 10414441398. Its totient is φ = 10414441396.

The previous prime is 10414441391. The next prime is 10414441409. The reversal of 10414441397 is 79314441401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9424332241 + 990109156 = 97079^2 + 31466^2 .

It is a cyclic number.

It is not a de Polignac number, because 10414441397 - 26 = 10414441333 is a prime.

It is a super-3 number, since 3×104144413973 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10414441397.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10414441391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5207220698 + 5207220699.

It is an arithmetic number, because the mean of its divisors is an integer number (5207220699).

Almost surely, 210414441397 is an apocalyptic number.

It is an amenable number.

10414441397 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414441397 is an equidigital number, since it uses as much as digits as its factorization.

10414441397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 38.

Adding to 10414441397 its reverse (79314441401), we get a palindrome (89728882798).

It can be divided in two parts, 104144 and 41397, that added together give a palindrome (145541).

The spelling of 10414441397 in words is "ten billion, four hundred fourteen million, four hundred forty-one thousand, three hundred ninety-seven".