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10405267381 is a prime number
BaseRepresentation
bin10011011000011001…
…11100011110110101
3222212011100100110101
421230030330132311
5132302222024011
64440300554101
7515565212335
oct115414743665
928764310411
1010405267381
11445a558433
122024852931
13c9a954462
14709cd90c5
1540d7622c1
hex26c33c7b5

10405267381 has 2 divisors, whose sum is σ = 10405267382. Its totient is φ = 10405267380.

The previous prime is 10405267363. The next prime is 10405267429. The reversal of 10405267381 is 18376250401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6080100625 + 4325166756 = 77975^2 + 65766^2 .

It is a cyclic number.

It is not a de Polignac number, because 10405267381 - 217 = 10405136309 is a prime.

It is a super-2 number, since 2×104052673812 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10405267381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10405267351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5202633690 + 5202633691.

It is an arithmetic number, because the mean of its divisors is an integer number (5202633691).

Almost surely, 210405267381 is an apocalyptic number.

It is an amenable number.

10405267381 is a deficient number, since it is larger than the sum of its proper divisors (1).

10405267381 is an equidigital number, since it uses as much as digits as its factorization.

10405267381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 10405267381 in words is "ten billion, four hundred five million, two hundred sixty-seven thousand, three hundred eighty-one".