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314220012101 is a prime number
BaseRepresentation
bin1001001001010001111…
…10001110001001000101
31010001001112101111011222
410210220332032021011
520122010310341401
6400203425210125
731462444014512
oct4445076161105
91101045344158
10314220012101
11111295006916
1250a93790945
1323827bb0858
14112cb92a309
158290ca0c1b
hex4928f8e245

314220012101 has 2 divisors, whose sum is σ = 314220012102. Its totient is φ = 314220012100.

The previous prime is 314220012061. The next prime is 314220012121. The reversal of 314220012101 is 101210022413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196028448001 + 118191564100 = 442751^2 + 343790^2 .

It is an emirp because it is prime and its reverse (101210022413) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314220012101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314220012101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314220012121) 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, 157110006050 + 157110006051.

It is an arithmetic number, because the mean of its divisors is an integer number (157110006051).

Almost surely, 2314220012101 is an apocalyptic number.

It is an amenable number.

314220012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

314220012101 is an equidigital number, since it uses as much as digits as its factorization.

314220012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 314220012101 its reverse (101210022413), we get a palindrome (415430034514).

The spelling of 314220012101 in words is "three hundred fourteen billion, two hundred twenty million, twelve thousand, one hundred one".