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31048740101 is a prime number
BaseRepresentation
bin11100111010101001…
…100010110100000101
32222010211200102100002
4130322221202310011
51002041434140401
622132534131045
72146262636111
oct347251426405
988124612302
1031048740101
1112193227a95
1260261b0a85
132c0a739082
141707842741
15c1ac36a6b
hex73aa62d05

31048740101 has 2 divisors, whose sum is σ = 31048740102. Its totient is φ = 31048740100.

The previous prime is 31048740067. The next prime is 31048740103. The reversal of 31048740101 is 10104784013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28637439076 + 2411301025 = 169226^2 + 49105^2 .

It is an emirp because it is prime and its reverse (10104784013) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31048740101 is a prime.

Together with 31048740103, 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 (31048740103) 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, 15524370050 + 15524370051.

It is an arithmetic number, because the mean of its divisors is an integer number (15524370051).

Almost surely, 231048740101 is an apocalyptic number.

It is an amenable number.

31048740101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31048740101 is an equidigital number, since it uses as much as digits as its factorization.

31048740101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 31048740101 in words is "thirty-one billion, forty-eight million, seven hundred forty thousand, one hundred one".