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20100220312031 is a prime number
BaseRepresentation
bin1001001000111111100100…
…11111011101100111011111
32122011120011220122212012022
410210133302133131213133
510113310222344441111
6110425525211130355
74143123124433336
oct444376237354737
978146156585168
1020100220312031
11644a5013998a2
1223076831439bb
13b2a59a63cc12
144d6bda66ad1d
1524ccbd5dd2db
hex1247f27dd9df

20100220312031 has 2 divisors, whose sum is σ = 20100220312032. Its totient is φ = 20100220312030.

The previous prime is 20100220312021. The next prime is 20100220312037. The reversal of 20100220312031 is 13021302200102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 20100220312031 - 26 = 20100220311967 is a prime.

It is a super-2 number, since 2×201002203120312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20100220312037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050110156015 + 10050110156016.

It is an arithmetic number, because the mean of its divisors is an integer number (10050110156016).

Almost surely, 220100220312031 is an apocalyptic number.

20100220312031 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100220312031 is an equidigital number, since it uses as much as digits as its factorization.

20100220312031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20100220312031 its reverse (13021302200102), we get a palindrome (33121522512133).

The spelling of 20100220312031 in words is "twenty trillion, one hundred billion, two hundred twenty million, three hundred twelve thousand, thirty-one".