Search a number
-
+
310135311341 is a prime number
BaseRepresentation
bin1001000001101011000…
…00010100101111101101
31002122111212022012010122
410200311200110233231
520040124114430331
6354250232014325
731256304436112
oct4406540245755
91078455265118
10310135311341
1110a589330769
12501338313a5
132332687425b
1411021248909
15810239917b
hex4835814bed

310135311341 has 2 divisors, whose sum is σ = 310135311342. Its totient is φ = 310135311340.

The previous prime is 310135311307. The next prime is 310135311371. The reversal of 310135311341 is 143113531013.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294252002500 + 15883308841 = 542450^2 + 126029^2 .

It is an emirp because it is prime and its reverse (143113531013) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 310135311341 - 218 = 310135049197 is a prime.

It is a super-2 number, since 2×3101353113412 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 310135311341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (310135311371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155067655670 + 155067655671.

It is an arithmetic number, because the mean of its divisors is an integer number (155067655671).

Almost surely, 2310135311341 is an apocalyptic number.

It is an amenable number.

310135311341 is a deficient number, since it is larger than the sum of its proper divisors (1).

310135311341 is an equidigital number, since it uses as much as digits as its factorization.

310135311341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 310135311341 its reverse (143113531013), we get a palindrome (453248842354).

The spelling of 310135311341 in words is "three hundred ten billion, one hundred thirty-five million, three hundred eleven thousand, three hundred forty-one".