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31311012103201 is a prime number
BaseRepresentation
bin1110001111010001010011…
…10000010000010000100001
311002212022012021021000102101
413013220221300100100201
513100444423044300301
6150332025210250401
76411101032403005
oct707505160202041
9132768167230371
1031311012103201
119a81a20068386
12361834a726a01
131461800b0ac8c
147a3665276705
1539471087e701
hex1c7a29c10421

31311012103201 has 2 divisors, whose sum is σ = 31311012103202. Its totient is φ = 31311012103200.

The previous prime is 31311012103193. The next prime is 31311012103249. The reversal of 31311012103201 is 10230121011313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21550011555601 + 9761000547600 = 4642199^2 + 3124260^2 .

It is a cyclic number.

It is not a de Polignac number, because 31311012103201 - 23 = 31311012103193 is a prime.

It is not a weakly prime, because it can be changed into another prime (31311012173201) 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, 15655506051600 + 15655506051601.

It is an arithmetic number, because the mean of its divisors is an integer number (15655506051601).

Almost surely, 231311012103201 is an apocalyptic number.

It is an amenable number.

31311012103201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31311012103201 is an equidigital number, since it uses as much as digits as its factorization.

31311012103201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 31311012103201 its reverse (10230121011313), we get a palindrome (41541133114514).

The spelling of 31311012103201 in words is "thirty-one trillion, three hundred eleven billion, twelve million, one hundred three thousand, two hundred one".