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314103206101 is a prime number
BaseRepresentation
bin1001001001000100000…
…00101001000011010101
31010000202101121010110211
410210202000221003111
520121240410043401
6400144053445421
731456525125316
oct4444200510325
91100671533424
10314103206101
11111235086833
1250a60640871
1323809934689
14112ba20260d
1582858cb951
hex49220290d5

314103206101 has 2 divisors, whose sum is σ = 314103206102. Its totient is φ = 314103206100.

The previous prime is 314103206093. The next prime is 314103206119. The reversal of 314103206101 is 101602301413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166052175025 + 148051031076 = 407495^2 + 384774^2 .

It is a cyclic number.

It is not a de Polignac number, because 314103206101 - 23 = 314103206093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314103206171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157051603050 + 157051603051.

It is an arithmetic number, because the mean of its divisors is an integer number (157051603051).

Almost surely, 2314103206101 is an apocalyptic number.

It is an amenable number.

314103206101 is a deficient number, since it is larger than the sum of its proper divisors (1).

314103206101 is an equidigital number, since it uses as much as digits as its factorization.

314103206101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 314103206101 its reverse (101602301413), we get a palindrome (415705507514).

The spelling of 314103206101 in words is "three hundred fourteen billion, one hundred three million, two hundred six thousand, one hundred one".