Search a number
-
+
313503221 is a prime number
BaseRepresentation
bin10010101011111…
…010110111110101
3210211220121120102
4102223322313311
51120224100341
651035243445
710524506363
oct2253726765
9724817512
10313503221
11150a67679
1288ba9585
134cc48085
142d8ca633
151c7c9c9b
hex12afadf5

313503221 has 2 divisors, whose sum is σ = 313503222. Its totient is φ = 313503220.

The previous prime is 313503209. The next prime is 313503233. The reversal of 313503221 is 122305313.

It is a balanced prime because it is at equal distance from previous prime (313503209) and next prime (313503233).

It can be written as a sum of positive squares in only one way, i.e., 310816900 + 2686321 = 17630^2 + 1639^2 .

It is a cyclic number.

It is not a de Polignac number, because 313503221 - 210 = 313502197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313503193 and 313503202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313500221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156751610 + 156751611.

It is an arithmetic number, because the mean of its divisors is an integer number (156751611).

Almost surely, 2313503221 is an apocalyptic number.

It is an amenable number.

313503221 is a deficient number, since it is larger than the sum of its proper divisors (1).

313503221 is an equidigital number, since it uses as much as digits as its factorization.

313503221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 313503221 is about 17706.0221676129. The cubic root of 313503221 is about 679.3298046503.

Adding to 313503221 its reverse (122305313), we get a palindrome (435808534).

The spelling of 313503221 in words is "three hundred thirteen million, five hundred three thousand, two hundred twenty-one".