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30131133101 is a prime number
BaseRepresentation
bin11100000011111101…
…001001101010101101
32212202220001011011122
4130003331021222231
5443202032224401
621501514430325
72114451256046
oct340375115255
985686034148
1030131133101
111186226a2a3
125a0aa323a5
132ac25b9554
14165ba218cd
15bb53cd21b
hex703f49aad

30131133101 has 2 divisors, whose sum is σ = 30131133102. Its totient is φ = 30131133100.

The previous prime is 30131133059. The next prime is 30131133143. The reversal of 30131133101 is 10133113103.

It is a balanced prime because it is at equal distance from previous prime (30131133059) and next prime (30131133143).

It can be written as a sum of positive squares in only one way, i.e., 28098475876 + 2032657225 = 167626^2 + 45085^2 .

It is a cyclic number.

It is not a de Polignac number, because 30131133101 - 222 = 30126938797 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30131133101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30131133301) 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, 15065566550 + 15065566551.

It is an arithmetic number, because the mean of its divisors is an integer number (15065566551).

Almost surely, 230131133101 is an apocalyptic number.

It is an amenable number.

30131133101 is a deficient number, since it is larger than the sum of its proper divisors (1).

30131133101 is an equidigital number, since it uses as much as digits as its factorization.

30131133101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 30131133101 its reverse (10133113103), we get a palindrome (40264246204).

The spelling of 30131133101 in words is "thirty billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred one".