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314342432101 is a prime number
BaseRepresentation
bin1001001001100000100…
…01001101110101100101
31010001101001202001212001
410210300101031311211
520122233130311401
6400223521125301
731465461405235
oct4446021156545
91101331661761
10314342432101
11111348120875
1250b08789831
1323847374119
14112ddcb5cc5
15829b8d3601
hex493044dd65

314342432101 has 2 divisors, whose sum is σ = 314342432102. Its totient is φ = 314342432100.

The previous prime is 314342432093. The next prime is 314342432123. The reversal of 314342432101 is 101234243413.

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., 219309573025 + 95032859076 = 468305^2 + 308274^2 .

It is a cyclic number.

It is not a de Polignac number, because 314342432101 - 23 = 314342432093 is a prime.

It is a super-2 number, since 2×3143424321012 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314342432101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314312432101) 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, 157171216050 + 157171216051.

It is an arithmetic number, because the mean of its divisors is an integer number (157171216051).

Almost surely, 2314342432101 is an apocalyptic number.

It is an amenable number.

314342432101 is a deficient number, since it is larger than the sum of its proper divisors (1).

314342432101 is an equidigital number, since it uses as much as digits as its factorization.

314342432101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 314342432101 its reverse (101234243413), we get a palindrome (415576675514).

The spelling of 314342432101 in words is "three hundred fourteen billion, three hundred forty-two million, four hundred thirty-two thousand, one hundred one".