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2223120002513 is a prime number
BaseRepresentation
bin100000010110011100010…
…001110010110111010001
321212112021001111100112212
4200112130101302313101
5242410422210040023
64421142013001505
7316420662143144
oct40263421626721
97775231440485
102223120002513
11787902315083
122baa32483295
1313184076a7b7
147985737a05b
153cc66067e78
hex2059c472dd1

2223120002513 has 2 divisors, whose sum is σ = 2223120002514. Its totient is φ = 2223120002512.

The previous prime is 2223120002507. The next prime is 2223120002549. The reversal of 2223120002513 is 3152000213222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2217275858704 + 5844143809 = 1489052^2 + 76447^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223120002513 - 222 = 2223115808209 is a prime.

It is a super-2 number, since 2×22231200025132 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2223120002563) 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, 1111560001256 + 1111560001257.

It is an arithmetic number, because the mean of its divisors is an integer number (1111560001257).

Almost surely, 22223120002513 is an apocalyptic number.

It is an amenable number.

2223120002513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223120002513 is an equidigital number, since it uses as much as digits as its factorization.

2223120002513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 2223120002513 its reverse (3152000213222), we get a palindrome (5375120215735).

The spelling of 2223120002513 in words is "two trillion, two hundred twenty-three billion, one hundred twenty million, two thousand, five hundred thirteen".