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30531753137 is a prime number
BaseRepresentation
bin11100011011110101…
…011001010010110001
32220210210212202112202
4130123311121102301
51000012112100022
622005345232545
72130414422354
oct343365312261
986723782482
1030531753137
1111a48419036
125b01032755
132b575b7122
141698d0829b
15bda665592
hex71bd594b1

30531753137 has 2 divisors, whose sum is σ = 30531753138. Its totient is φ = 30531753136.

The previous prime is 30531753103. The next prime is 30531753151. The reversal of 30531753137 is 73135713503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15627250081 + 14904503056 = 125009^2 + 122084^2 .

It is a cyclic number.

It is not a de Polignac number, because 30531753137 - 216 = 30531687601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30531753137.

It is not a weakly prime, because it can be changed into another prime (30531753737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15265876568 + 15265876569.

It is an arithmetic number, because the mean of its divisors is an integer number (15265876569).

Almost surely, 230531753137 is an apocalyptic number.

It is an amenable number.

30531753137 is a deficient number, since it is larger than the sum of its proper divisors (1).

30531753137 is an equidigital number, since it uses as much as digits as its factorization.

30531753137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 99225, while the sum is 38.

The spelling of 30531753137 in words is "thirty billion, five hundred thirty-one million, seven hundred fifty-three thousand, one hundred thirty-seven".