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12314144141333 is a prime number
BaseRepresentation
bin1011001100110001110000…
…1011111111000000010101
31121121012221212200221211222
42303030130023333000111
53103223331400010313
642105012325140125
72410444654112456
oct263143413770025
947535855627758
1012314144141333
113a1844337a901
12146a691b5a645
136b42ac957698
143080173d912d
151654bc1d6208
hexb331c2ff015

12314144141333 has 2 divisors, whose sum is σ = 12314144141334. Its totient is φ = 12314144141332.

The previous prime is 12314144141293. The next prime is 12314144141359. The reversal of 12314144141333 is 33314144141321.

It is a happy number.

12314144141333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11156622063409 + 1157522077924 = 3340153^2 + 1075882^2 .

It is an emirp because it is prime and its reverse (33314144141321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12314144141333 - 28 = 12314144141077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12314144141293 and 12314144141302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12314144141933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6157072070666 + 6157072070667.

It is an arithmetic number, because the mean of its divisors is an integer number (6157072070667).

Almost surely, 212314144141333 is an apocalyptic number.

It is an amenable number.

12314144141333 is a deficient number, since it is larger than the sum of its proper divisors (1).

12314144141333 is an equidigital number, since it uses as much as digits as its factorization.

12314144141333 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41472, while the sum is 35.

Adding to 12314144141333 its reverse (33314144141321), we get a palindrome (45628288282654).

The spelling of 12314144141333 in words is "twelve trillion, three hundred fourteen billion, one hundred forty-four million, one hundred forty-one thousand, three hundred thirty-three".