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31003112213 is a prime number
BaseRepresentation
bin11100110111111011…
…011111001100010101
32222000122211021122022
4130313323133030111
51001443244042323
622124224142525
72145200051153
oct346773371425
988018737568
1031003112213
111216a4a3097
126012a67a45
132c01151a18
1417017663d3
15c16c224c8
hex737edf315

31003112213 has 2 divisors, whose sum is σ = 31003112214. Its totient is φ = 31003112212.

The previous prime is 31003112159. The next prime is 31003112219. The reversal of 31003112213 is 31221130013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24055389604 + 6947722609 = 155098^2 + 83353^2 .

It is a cyclic number.

It is not a de Polignac number, because 31003112213 - 26 = 31003112149 is a prime.

It is a super-2 number, since 2×310031122132 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31003112191 and 31003112200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31003112219) 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, 15501556106 + 15501556107.

It is an arithmetic number, because the mean of its divisors is an integer number (15501556107).

Almost surely, 231003112213 is an apocalyptic number.

It is an amenable number.

31003112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

31003112213 is an equidigital number, since it uses as much as digits as its factorization.

31003112213 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 31003112213 its reverse (31221130013), we get a palindrome (62224242226).

The spelling of 31003112213 in words is "thirty-one billion, three million, one hundred twelve thousand, two hundred thirteen".