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100404313081 is a prime number
BaseRepresentation
bin101110110000010010…
…0000011101111111001
3100121011100102120112021
41131200210003233321
53121112001004311
6114043004514441
710153053402562
oct1354044035771
9317140376467
10100404313081
1139643687546
121756124ba21
139611501257
144c06a29169
1529299a1171
hex1760903bf9

100404313081 has 2 divisors, whose sum is σ = 100404313082. Its totient is φ = 100404313080.

The previous prime is 100404313063. The next prime is 100404313099. The reversal of 100404313081 is 180313404001.

It is a balanced prime because it is at equal distance from previous prime (100404313063) and next prime (100404313099).

It can be written as a sum of positive squares in only one way, i.e., 57271669225 + 43132643856 = 239315^2 + 207684^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100404313081 is a prime.

It is a super-2 number, since 2×1004043130812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100404313021) 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, 50202156540 + 50202156541.

It is an arithmetic number, because the mean of its divisors is an integer number (50202156541).

Almost surely, 2100404313081 is an apocalyptic number.

It is an amenable number.

100404313081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100404313081 is an equidigital number, since it uses as much as digits as its factorization.

100404313081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 100404313081 its reverse (180313404001), we get a palindrome (280717717082).

The spelling of 100404313081 in words is "one hundred billion, four hundred four million, three hundred thirteen thousand, eighty-one".