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314124231121121 is a prime number
BaseRepresentation
bin100011101101100011011111…
…1001101100001100011100001
31112012012222112202122101010202
41013123012333031201203201
5312133102411131333441
63032030402443234545
7123110504165222141
oct10733067715414341
91465188482571122
10314124231121121
11910a937a2a2143
122b293469518a55
1310637a31cc7195
14577d9a0124921
15264b15addd19b
hex11db1bf3618e1

314124231121121 has 2 divisors, whose sum is σ = 314124231121122. Its totient is φ = 314124231121120.

The previous prime is 314124231121033. The next prime is 314124231121133. The reversal of 314124231121121 is 121121132421413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 274890431232400 + 39233799888721 = 16579820^2 + 6263689^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314124231121121 is a prime.

It is not a weakly prime, because it can be changed into another prime (314124281121121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157062115560560 + 157062115560561.

It is an arithmetic number, because the mean of its divisors is an integer number (157062115560561).

Almost surely, 2314124231121121 is an apocalyptic number.

It is an amenable number.

314124231121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

314124231121121 is an equidigital number, since it uses as much as digits as its factorization.

314124231121121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2304, while the sum is 29.

Adding to 314124231121121 its reverse (121121132421413), we get a palindrome (435245363542534).

The spelling of 314124231121121 in words is "three hundred fourteen trillion, one hundred twenty-four billion, two hundred thirty-one million, one hundred twenty-one thousand, one hundred twenty-one".