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31100302309 is a prime number
BaseRepresentation
bin11100111101101110…
…001111001111100101
32222021102201001101111
4130331232033033211
51002143134133214
622142015225021
72150460131206
oct347556171745
988242631344
1031100302309
111220a34548a
12603b518171
132c1832055b
1417106255ad
15c2051e5c4
hex73db8f3e5

31100302309 has 2 divisors, whose sum is σ = 31100302310. Its totient is φ = 31100302308.

The previous prime is 31100302301. The next prime is 31100302369. The reversal of 31100302309 is 90320300113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17910468900 + 13189833409 = 133830^2 + 114847^2 .

It is a cyclic number.

It is not a de Polignac number, because 31100302309 - 23 = 31100302301 is a prime.

It is a super-2 number, since 2×311003023092 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31100302309.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31100302301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15550151154 + 15550151155.

It is an arithmetic number, because the mean of its divisors is an integer number (15550151155).

Almost surely, 231100302309 is an apocalyptic number.

It is an amenable number.

31100302309 is a deficient number, since it is larger than the sum of its proper divisors (1).

31100302309 is an equidigital number, since it uses as much as digits as its factorization.

31100302309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

The spelling of 31100302309 in words is "thirty-one billion, one hundred million, three hundred two thousand, three hundred nine".