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100036997 is a prime number
BaseRepresentation
bin1011111011001…
…11000110000101
320222020101221222
411331213012011
5201102140442
613532050125
72323205024
oct575470605
9228211858
10100036997
1151517305
1229603945
13179575b8
14d4008bb
158bb08d2
hex5f67185

100036997 has 2 divisors, whose sum is σ = 100036998. Its totient is φ = 100036996.

The previous prime is 100036987. The next prime is 100037029. The reversal of 100036997 is 799630001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72148036 + 27888961 = 8494^2 + 5281^2 .

It is an emirp because it is prime and its reverse (799630001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100036997 is a prime.

It is a super-3 number, since 3×1000369973 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100036927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50018498 + 50018499.

It is an arithmetic number, because the mean of its divisors is an integer number (50018499).

Almost surely, 2100036997 is an apocalyptic number.

It is an amenable number.

100036997 is a deficient number, since it is larger than the sum of its proper divisors (1).

100036997 is an equidigital number, since it uses as much as digits as its factorization.

100036997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 35.

The square root of 100036997 is about 10001.8496789344. The cubic root of 100036997 is about 464.2161179242.

Adding to 100036997 its reverse (799630001), we get a palindrome (899666998).

The spelling of 100036997 in words is "one hundred million, thirty-six thousand, nine hundred ninety-seven".