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3131033131 is a prime number
BaseRepresentation
bin1011101010011111…
…1100011000101011
322002012120222000001
42322213330120223
522403021030011
61234404523431
7140406225322
oct27247743053
98065528001
103131033131
111367428596
127346b0577
133ab8a2335
14219b950b9
15134d287c1
hexba9fc62b

3131033131 has 2 divisors, whose sum is σ = 3131033132. Its totient is φ = 3131033130.

The previous prime is 3131033107. The next prime is 3131033137. The reversal of 3131033131 is 1313301313.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3131033131 is a prime.

It is a super-2 number, since 2×31310331312 = 19606736934839326322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3131033099 and 3131033108.

It is not a weakly prime, because it can be changed into another prime (3131033137) 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, 1565516565 + 1565516566.

It is an arithmetic number, because the mean of its divisors is an integer number (1565516566).

Almost surely, 23131033131 is an apocalyptic number.

3131033131 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131033131 is an equidigital number, since it uses as much as digits as its factorization.

3131033131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 3131033131 is about 55955.6353819702. The cubic root of 3131033131 is about 1462.9491166611.

Adding to 3131033131 its reverse (1313301313), we get a palindrome (4444334444).

The spelling of 3131033131 in words is "three billion, one hundred thirty-one million, thirty-three thousand, one hundred thirty-one".