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311123334561047 is a prime number
BaseRepresentation
bin100011010111101110000101…
…1110101100111110100010111
31111210121002201010100010110222
41012233130023311213310113
5311234421042121423142
63021412030423304555
7122350630160304221
oct10657341365476427
91453532633303428
10311123334561047
1190151735433628
122aa899532ab15b
131047aa5c806578
1456b8642129411
1525e8072aebbd2
hex11af70bd67d17

311123334561047 has 2 divisors, whose sum is σ = 311123334561048. Its totient is φ = 311123334561046.

The previous prime is 311123334560939. The next prime is 311123334561103. The reversal of 311123334561047 is 740165433321113.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 311123334561047 - 226 = 311123267452183 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 311123334560989 and 311123334561007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311123334560047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155561667280523 + 155561667280524.

It is an arithmetic number, because the mean of its divisors is an integer number (155561667280524).

Almost surely, 2311123334561047 is an apocalyptic number.

311123334561047 is a deficient number, since it is larger than the sum of its proper divisors (1).

311123334561047 is an equidigital number, since it uses as much as digits as its factorization.

311123334561047 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 311123334561047 in words is "three hundred eleven trillion, one hundred twenty-three billion, three hundred thirty-four million, five hundred sixty-one thousand, forty-seven".