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221301112013 is a prime number
BaseRepresentation
bin1100111000011010010…
…0101111110011001101
3210011012212002021212222
43032012210233303031
512111211041041023
6245355254505125
721663022262252
oct3160644576315
9704185067788
10221301112013
1185942787a03
1236a813651a5
1317b3a430c77
14a9d50d7429
155b5354ecc8
hex338692fccd

221301112013 has 2 divisors, whose sum is σ = 221301112014. Its totient is φ = 221301112012.

The previous prime is 221301112001. The next prime is 221301112037. The reversal of 221301112013 is 310211103122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192613898884 + 28687213129 = 438878^2 + 169373^2 .

It is a cyclic number.

It is not a de Polignac number, because 221301112013 - 224 = 221284334797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221301111982 and 221301112000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221321112013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110650556006 + 110650556007.

It is an arithmetic number, because the mean of its divisors is an integer number (110650556007).

Almost surely, 2221301112013 is an apocalyptic number.

It is an amenable number.

221301112013 is a deficient number, since it is larger than the sum of its proper divisors (1).

221301112013 is an equidigital number, since it uses as much as digits as its factorization.

221301112013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 221301112013 its reverse (310211103122), we get a palindrome (531512215135).

The spelling of 221301112013 in words is "two hundred twenty-one billion, three hundred one million, one hundred twelve thousand, thirteen".