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31302310000061 is a prime number
BaseRepresentation
bin1110001111000001000110…
…00100010111010110111101
311002211110201210201101002002
413013200203010113112331
513100324112330000221
6150324025510112045
76410342264631632
oct707404304272675
9132743653641062
1031302310000061
119a79264a44501
12361672034b625
131460a44ca0419
147a307b648189
153943a18e880b
hex1c78231175bd

31302310000061 has 2 divisors, whose sum is σ = 31302310000062. Its totient is φ = 31302310000060.

The previous prime is 31302310000007. The next prime is 31302310000127. The reversal of 31302310000061 is 16000001320313.

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., 23784212132836 + 7518097867225 = 4876906^2 + 2741915^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31302310000061 is a prime.

It is a super-2 number, since 2×313023100000612 (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31302309999988 and 31302310000042.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31302310050061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15651155000030 + 15651155000031.

It is an arithmetic number, because the mean of its divisors is an integer number (15651155000031).

Almost surely, 231302310000061 is an apocalyptic number.

It is an amenable number.

31302310000061 is a deficient number, since it is larger than the sum of its proper divisors (1).

31302310000061 is an equidigital number, since it uses as much as digits as its factorization.

31302310000061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31302310000061 its reverse (16000001320313), we get a palindrome (47302311320374).

The spelling of 31302310000061 in words is "thirty-one trillion, three hundred two billion, three hundred ten million, sixty-one", and thus it is an aban number.