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313123330153 is a prime number
BaseRepresentation
bin1001000111001111001…
…10101101100001101001
31002221020002210021101001
410203213212231201221
520112234033031103
6355502531355001
731423326251164
oct4434746554151
91087202707331
10313123330153
11110881a584a7
1250828452a61
13236b192221a
1411226012adb
15822987301d
hex48e79ad869

313123330153 has 2 divisors, whose sum is σ = 313123330154. Its totient is φ = 313123330152.

The previous prime is 313123330147. The next prime is 313123330183. The reversal of 313123330153 is 351033321313.

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., 235698598144 + 77424732009 = 485488^2 + 278253^2 .

It is a cyclic number.

It is not a de Polignac number, because 313123330153 - 213 = 313123321961 is a prime.

It is a super-2 number, since 2×3131233301532 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313123330183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561665076 + 156561665077.

It is an arithmetic number, because the mean of its divisors is an integer number (156561665077).

Almost surely, 2313123330153 is an apocalyptic number.

It is an amenable number.

313123330153 is a deficient number, since it is larger than the sum of its proper divisors (1).

313123330153 is an equidigital number, since it uses as much as digits as its factorization.

313123330153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7290, while the sum is 28.

Adding to 313123330153 its reverse (351033321313), we get a palindrome (664156651466).

The spelling of 313123330153 in words is "three hundred thirteen billion, one hundred twenty-three million, three hundred thirty thousand, one hundred fifty-three".