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36001313 is a prime number
BaseRepresentation
bin1000100101010…
…1011000100001
32111202001111222
42021111120201
533204020223
63323344425
7615002045
oct211253041
974661458
1036001313
111935a357
1210082115
1375c676a
144ad2025
1532620c8
hex2255621

36001313 has 2 divisors, whose sum is σ = 36001314. Its totient is φ = 36001312.

The previous prime is 36001307. The next prime is 36001367. The reversal of 36001313 is 31310063.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35916049 + 85264 = 5993^2 + 292^2 .

It is a cyclic number.

It is not a de Polignac number, because 36001313 - 26 = 36001249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36001291 and 36001300.

It is not a weakly prime, because it can be changed into another prime (36007313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18000656 + 18000657.

It is an arithmetic number, because the mean of its divisors is an integer number (18000657).

Almost surely, 236001313 is an apocalyptic number.

It is an amenable number.

36001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

36001313 is an equidigital number, since it uses as much as digits as its factorization.

36001313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 36001313 is about 6000.1094156690. The cubic root of 36001313 is about 330.1967391281.

Adding to 36001313 its reverse (31310063), we get a palindrome (67311376).

It can be divided in two parts, 3600 and 1313, that added together give a cube (4913 = 173).

The spelling of 36001313 in words is "thirty-six million, one thousand, three hundred thirteen".