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104000144077 is a prime number
BaseRepresentation
bin110000011011011100…
…1000100001011001101
3100221102221121201100001
41200312321010023031
53200443014102302
6115435500004301
710341135432064
oct1406671041315
9327387551301
10104000144077
11401194085a5
12181a5530691
139a654818bb
1450684111db
152a8a4dc787
hex1836e442cd

104000144077 has 2 divisors, whose sum is σ = 104000144078. Its totient is φ = 104000144076.

The previous prime is 104000143981. The next prime is 104000144093. The reversal of 104000144077 is 770441000401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98813407716 + 5186736361 = 314346^2 + 72019^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104000144077 is a prime.

It is a super-3 number, since 3×1040001440773 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104000144477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52000072038 + 52000072039.

It is an arithmetic number, because the mean of its divisors is an integer number (52000072039).

Almost surely, 2104000144077 is an apocalyptic number.

It is an amenable number.

104000144077 is a deficient number, since it is larger than the sum of its proper divisors (1).

104000144077 is an equidigital number, since it uses as much as digits as its factorization.

104000144077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3136, while the sum is 28.

Adding to 104000144077 its reverse (770441000401), we get a palindrome (874441144478).

The spelling of 104000144077 in words is "one hundred four billion, one hundred forty-four thousand, seventy-seven".