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2220103131931 is a prime number
BaseRepresentation
bin100000010011101000011…
…101010110001100011011
321212020110210201110010101
4200103220131112030123
5242333232400210211
64415522403000231
7316253140154116
oct40235035261433
97766423643111
102220103131931
117865a4381603
122ba330069077
1313147c72a389
147964c82157d
153cb3b2905c1
hex204e875631b

2220103131931 has 2 divisors, whose sum is σ = 2220103131932. Its totient is φ = 2220103131930.

The previous prime is 2220103131929. The next prime is 2220103131941. The reversal of 2220103131931 is 1391313010222.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2220103131931 - 21 = 2220103131929 is a prime.

It is a super-2 number, since 2×22201031319312 (a number of 25 digits) contains 22 as substring.

Together with 2220103131929, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2220103131931.

It is not a weakly prime, because it can be changed into another prime (2220103131941) 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, 1110051565965 + 1110051565966.

It is an arithmetic number, because the mean of its divisors is an integer number (1110051565966).

Almost surely, 22220103131931 is an apocalyptic number.

2220103131931 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220103131931 is an equidigital number, since it uses as much as digits as its factorization.

2220103131931 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 2220103131931 in words is "two trillion, two hundred twenty billion, one hundred three million, one hundred thirty-one thousand, nine hundred thirty-one".