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100006056037 is a prime number
BaseRepresentation
bin101110100100011010…
…0110101000001100101
3100120010121001000120101
41131020310311001211
53114303022243122
6113535300504101
710140146310406
oct1351064650145
9316117030511
10100006056037
11394598a2098
121746b9ab031
139579b500b4
144ba9b999ad
152904a34027
hex1748d35065

100006056037 has 2 divisors, whose sum is σ = 100006056038. Its totient is φ = 100006056036.

The previous prime is 100006055999. The next prime is 100006056047. The reversal of 100006056037 is 730650600001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77791345921 + 22214710116 = 278911^2 + 149046^2 .

It is a cyclic number.

It is not a de Polignac number, because 100006056037 - 27 = 100006055909 is a prime.

It is a super-2 number, since 2×1000060560372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100006055996 and 100006056014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100006056047) 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, 50003028018 + 50003028019.

It is an arithmetic number, because the mean of its divisors is an integer number (50003028019).

Almost surely, 2100006056037 is an apocalyptic number.

It is an amenable number.

100006056037 is a deficient number, since it is larger than the sum of its proper divisors (1).

100006056037 is an equidigital number, since it uses as much as digits as its factorization.

100006056037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 28.

Adding to 100006056037 its reverse (730650600001), we get a palindrome (830656656038).

The spelling of 100006056037 in words is "one hundred billion, six million, fifty-six thousand, thirty-seven".