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36103957 is a prime number
BaseRepresentation
bin1000100110111…
…0011100010101
32111221021022121
42021232130111
533220311312
63325455541
7615610231
oct211563425
974837277
1036103957
111941a48a
12101115b1
1376313b6
144b1b5c1
153282707
hex226e715

36103957 has 2 divisors, whose sum is σ = 36103958. Its totient is φ = 36103956.

The previous prime is 36103913. The next prime is 36103981. The reversal of 36103957 is 75930163.

36103957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33651601 + 2452356 = 5801^2 + 1566^2 .

It is a cyclic number.

It is not a de Polignac number, because 36103957 - 219 = 35579669 is a prime.

It is a super-2 number, since 2×361039572 = 2606991422115698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36103987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18051978 + 18051979.

It is an arithmetic number, because the mean of its divisors is an integer number (18051979).

Almost surely, 236103957 is an apocalyptic number.

It is an amenable number.

36103957 is a deficient number, since it is larger than the sum of its proper divisors (1).

36103957 is an equidigital number, since it uses as much as digits as its factorization.

36103957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 34.

The square root of 36103957 is about 6008.6568382626. The cubic root of 36103957 is about 330.5102513446.

The spelling of 36103957 in words is "thirty-six million, one hundred three thousand, nine hundred fifty-seven".