Search a number
-
+
31330112201 is a prime number
BaseRepresentation
bin11101001011011010…
…111001001011001001
32222212110010121021222
4131023122321023021
51003131002042301
622220505011425
72156250362663
oct351332711311
988773117258
1031330112201
1112318039013
1260a4483b75
132c53b1413b
141732d67533
15c357b631b
hex74b6b92c9

31330112201 has 2 divisors, whose sum is σ = 31330112202. Its totient is φ = 31330112200.

The previous prime is 31330112189. The next prime is 31330112207. The reversal of 31330112201 is 10221103313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22362211600 + 8967900601 = 149540^2 + 94699^2 .

It is a cyclic number.

It is not a de Polignac number, because 31330112201 - 230 = 30256370377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31330112201.

It is not a weakly prime, because it can be changed into another prime (31330112207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665056100 + 15665056101.

It is an arithmetic number, because the mean of its divisors is an integer number (15665056101).

Almost surely, 231330112201 is an apocalyptic number.

It is an amenable number.

31330112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

31330112201 is an equidigital number, since it uses as much as digits as its factorization.

31330112201 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 17.

Adding to 31330112201 its reverse (10221103313), we get a palindrome (41551215514).

The spelling of 31330112201 in words is "thirty-one billion, three hundred thirty million, one hundred twelve thousand, two hundred one".