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313211301101 is a prime number
BaseRepresentation
bin1001000111011001101…
…10010010110011101101
31002221110020022122211022
410203230312102303231
520112424043113401
6355515353103525
731425445063226
oct4435466226355
91087406278738
10313211301101
11110917683366
12508519b7ba5
13236c6c1373a
141123399224d
15823244d71b
hex48ecd92ced

313211301101 has 2 divisors, whose sum is σ = 313211301102. Its totient is φ = 313211301100.

The previous prime is 313211301083. The next prime is 313211301133. The reversal of 313211301101 is 101103112313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245296335076 + 67914966025 = 495274^2 + 260605^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313211301101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313211301101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313211301181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156605650550 + 156605650551.

It is an arithmetic number, because the mean of its divisors is an integer number (156605650551).

Almost surely, 2313211301101 is an apocalyptic number.

It is an amenable number.

313211301101 is a deficient number, since it is larger than the sum of its proper divisors (1).

313211301101 is an equidigital number, since it uses as much as digits as its factorization.

313211301101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 313211301101 its reverse (101103112313), we get a palindrome (414314413414).

The spelling of 313211301101 in words is "three hundred thirteen billion, two hundred eleven million, three hundred one thousand, one hundred one".