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30002131037 is a prime number
BaseRepresentation
bin11011111100010001…
…000011000001011101
32212102220022011121102
4123330101003001131
5442421021143122
621441025442445
72111323622534
oct337421030135
985386264542
1030002131037
11117a646a11a
1259937a0425
132aa1960078
14164884131b
15ba8dea492
hex6fc44305d

30002131037 has 2 divisors, whose sum is σ = 30002131038. Its totient is φ = 30002131036.

The previous prime is 30002131007. The next prime is 30002131039. The reversal of 30002131037 is 73013120003.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24985808761 + 5016322276 = 158069^2 + 70826^2 .

It is a cyclic number.

It is not a de Polignac number, because 30002131037 - 230 = 28928389213 is a prime.

It is a super-2 number, since 2×300021310372 (a number of 22 digits) contains 22 as substring.

Together with 30002131039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30002131039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15001065518 + 15001065519.

It is an arithmetic number, because the mean of its divisors is an integer number (15001065519).

Almost surely, 230002131037 is an apocalyptic number.

It is an amenable number.

30002131037 is a deficient number, since it is larger than the sum of its proper divisors (1).

30002131037 is an equidigital number, since it uses as much as digits as its factorization.

30002131037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 20.

The spelling of 30002131037 in words is "thirty billion, two million, one hundred thirty-one thousand, thirty-seven".