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100078000261 is a prime number
BaseRepresentation
bin101110100110100011…
…1010001100010000101
3100120022121102011111021
41131031013101202011
53114424432002021
6113550350511141
710142011652341
oct1351507214205
9316277364437
10100078000261
1139496470928
121748bb054b1
13958ba1c845
144bb5566621
15290aee5c41
hex174d1d1885

100078000261 has 2 divisors, whose sum is σ = 100078000262. Its totient is φ = 100078000260.

The previous prime is 100078000199. The next prime is 100078000339. The reversal of 100078000261 is 162000870001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61067800161 + 39010200100 = 247119^2 + 197510^2 .

It is a cyclic number.

It is not a de Polignac number, because 100078000261 - 219 = 100077475973 is a prime.

It is a super-2 number, since 2×1000780002612 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100078006261) 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, 50039000130 + 50039000131.

It is an arithmetic number, because the mean of its divisors is an integer number (50039000131).

Almost surely, 2100078000261 is an apocalyptic number.

100078000261 is the 141477-th centered decagonal number.

It is an amenable number.

100078000261 is a deficient number, since it is larger than the sum of its proper divisors (1).

100078000261 is an equidigital number, since it uses as much as digits as its factorization.

100078000261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 100078000261 its reverse (162000870001), we get a palindrome (262078870262).

The spelling of 100078000261 in words is "one hundred billion, seventy-eight million, two hundred sixty-one", and thus it is an aban number.