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104149144381921 is a prime number
BaseRepresentation
bin10111101011100100011100…
…110000010010100111100001
3111122202120010221110211201221
4113223210130300102213201
5102122334421430210141
61005301242330255041
730636345613366312
oct2753443460224741
9448676127424657
10104149144381921
1130204449928411
12b820975887481
1346162b7166632
141ba0bba01a609
15c09259197bd1
hex5eb91cc129e1

104149144381921 has 2 divisors, whose sum is σ = 104149144381922. Its totient is φ = 104149144381920.

The previous prime is 104149144381913. The next prime is 104149144381949. The reversal of 104149144381921 is 129183441941401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73275996819600 + 30873147562321 = 8560140^2 + 5556361^2 .

It is a cyclic number.

It is not a de Polignac number, because 104149144381921 - 23 = 104149144381913 is a prime.

It is a super-2 number, since 2×1041491443819212 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (104149144381981) 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, 52074572190960 + 52074572190961.

It is an arithmetic number, because the mean of its divisors is an integer number (52074572190961).

Almost surely, 2104149144381921 is an apocalyptic number.

It is an amenable number.

104149144381921 is a deficient number, since it is larger than the sum of its proper divisors (1).

104149144381921 is an equidigital number, since it uses as much as digits as its factorization.

104149144381921 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 995328, while the sum is 52.

The spelling of 104149144381921 in words is "one hundred four trillion, one hundred forty-nine billion, one hundred forty-four million, three hundred eighty-one thousand, nine hundred twenty-one".