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220222101003131 is a prime number
BaseRepresentation
bin110010000100101001110100…
…000110100001101101111011
31001212202000201212022112110002
4302010221310012201231323
5212331104330324100011
62100212345254543215
764246343646613043
oct6204516406415573
91055660655275402
10220222101003131
1164195739924327
1220848628067b0b
1395b5b16619016
143c54b412b6723
151a6d7377c9c3b
hexc84a741a1b7b

220222101003131 has 2 divisors, whose sum is σ = 220222101003132. Its totient is φ = 220222101003130.

The previous prime is 220222101003061. The next prime is 220222101003173. The reversal of 220222101003131 is 131300101222022.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 220222101003131 - 210 = 220222101002107 is a prime.

It is a super-2 number, since 2×2202221010031312 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220222101003181) 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, 110111050501565 + 110111050501566.

It is an arithmetic number, because the mean of its divisors is an integer number (110111050501566).

Almost surely, 2220222101003131 is an apocalyptic number.

220222101003131 is a deficient number, since it is larger than the sum of its proper divisors (1).

220222101003131 is an equidigital number, since it uses as much as digits as its factorization.

220222101003131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 220222101003131 its reverse (131300101222022), we get a palindrome (351522202225153).

The spelling of 220222101003131 in words is "two hundred twenty trillion, two hundred twenty-two billion, one hundred one million, three thousand, one hundred thirty-one".