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31213123033 is a prime number
BaseRepresentation
bin11101000100011100…
…100111010111011001
32222120021222221022211
4131010130213113121
51002411024414113
622201125315121
72153330111461
oct350434472731
988507887284
1031213123033
1112267aa3354
126071265aa1
132c35802791
1417215d2ba1
15c2a3a7b3d
hex7447275d9

31213123033 has 2 divisors, whose sum is σ = 31213123034. Its totient is φ = 31213123032.

The previous prime is 31213122989. The next prime is 31213123049. The reversal of 31213123033 is 33032131213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31212995584 + 127449 = 176672^2 + 357^2 .

It is a cyclic number.

It is not a de Polignac number, because 31213123033 - 225 = 31179568601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31213122995 and 31213123013.

It is not a weakly prime, because it can be changed into another prime (31213123063) 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, 15606561516 + 15606561517.

It is an arithmetic number, because the mean of its divisors is an integer number (15606561517).

Almost surely, 231213123033 is an apocalyptic number.

It is an amenable number.

31213123033 is a deficient number, since it is larger than the sum of its proper divisors (1).

31213123033 is an equidigital number, since it uses as much as digits as its factorization.

31213123033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31213123033 its reverse (33032131213), we get a palindrome (64245254246).

The spelling of 31213123033 in words is "thirty-one billion, two hundred thirteen million, one hundred twenty-three thousand, thirty-three".