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3131022001 is a prime number
BaseRepresentation
bin1011101010011111…
…1001101010110001
322002012120101201211
42322213321222301
522403020201001
61234404400121
7140406151012
oct27247715261
98065511654
103131022001
111367420198
127346a6041
133ab89a253
14219b91009
15134d25351
hexba9f9ab1

3131022001 has 2 divisors, whose sum is σ = 3131022002. Its totient is φ = 3131022000.

The previous prime is 3131021977. The next prime is 3131022007. The reversal of 3131022001 is 1002201313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2830346401 + 300675600 = 53201^2 + 17340^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131022001 - 29 = 3131021489 is a prime.

It is not a weakly prime, because it can be changed into another prime (3131022007) 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, 1565511000 + 1565511001.

It is an arithmetic number, because the mean of its divisors is an integer number (1565511001).

Almost surely, 23131022001 is an apocalyptic number.

It is an amenable number.

3131022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131022001 is an equidigital number, since it uses as much as digits as its factorization.

3131022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3131022001 is about 55955.5359280920. The cubic root of 3131022001 is about 1462.9473831925.

Adding to 3131022001 its reverse (1002201313), we get a palindrome (4133223314).

The spelling of 3131022001 in words is "three billion, one hundred thirty-one million, twenty-two thousand, one".