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1310012000161 is a prime number
BaseRepresentation
bin10011000100000010110…
…011001100011110100001
311122020100222200202110221
4103010002303030132201
5132430401033001121
62441451115323041
7163434214163254
oct23040263143641
94566328622427
101310012000161
11465633693097
12191a80450481
13966c24269a7
144759515309b
1524122da3b41
hex13102ccc7a1

1310012000161 has 2 divisors, whose sum is σ = 1310012000162. Its totient is φ = 1310012000160.

The previous prime is 1310012000149. The next prime is 1310012000177. The reversal of 1310012000161 is 1610002100131.

It is an a-pointer prime, because the next prime (1310012000177) can be obtained adding 1310012000161 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1128787253136 + 181224747025 = 1062444^2 + 425705^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310012000161 - 225 = 1309978445729 is a prime.

It is a super-2 number, since 2×13100120001612 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1310012000461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655006000080 + 655006000081.

It is an arithmetic number, because the mean of its divisors is an integer number (655006000081).

Almost surely, 21310012000161 is an apocalyptic number.

It is an amenable number.

1310012000161 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310012000161 is an equidigital number, since it uses as much as digits as its factorization.

1310012000161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1310012000161 its reverse (1610002100131), we get a palindrome (2920014100292).

The spelling of 1310012000161 in words is "one trillion, three hundred ten billion, twelve million, one hundred sixty-one", and thus it is an aban number.