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311686431401 is a prime number
BaseRepresentation
bin1001000100100011111…
…01011000001010101001
31002210111222000020211202
410202101331120022221
520101313211301101
6355104201533545
731342610645042
oct4422175301251
91083458006752
10311686431401
11110204957174
12504a71a42b5
1323513024687
141112b2578c9
15819364036b
hex4891f582a9

311686431401 has 2 divisors, whose sum is σ = 311686431402. Its totient is φ = 311686431400.

The previous prime is 311686431377. The next prime is 311686431461. The reversal of 311686431401 is 104134686113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309442988176 + 2243443225 = 556276^2 + 47365^2 .

It is a cyclic number.

It is not a de Polignac number, because 311686431401 - 218 = 311686169257 is a prime.

It is not a weakly prime, because it can be changed into another prime (311686431461) 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, 155843215700 + 155843215701.

It is an arithmetic number, because the mean of its divisors is an integer number (155843215701).

Almost surely, 2311686431401 is an apocalyptic number.

It is an amenable number.

311686431401 is a deficient number, since it is larger than the sum of its proper divisors (1).

311686431401 is an equidigital number, since it uses as much as digits as its factorization.

311686431401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 311686431401 in words is "three hundred eleven billion, six hundred eighty-six million, four hundred thirty-one thousand, four hundred one".