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221313313123 = 7231145696717
BaseRepresentation
bin1100111000011101001…
…1010010100101100011
3210011020201001011122221
43032013103102211203
512111222202004443
6245400412211511
721663231060100
oct3160723224543
9704221034587
10221313313123
1185949660871
1236a85469b97
1317b3cb13666
14a9d6991aa7
155b5465eeed
hex33874d2963

221313313123 has 12 divisors (see below), whose sum is σ = 265750813632. Its totient is φ = 183577862160.

The previous prime is 221313313121. The next prime is 221313313141. The reversal of 221313313123 is 321313313122.

221313313123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221313313123 - 21 = 221313313121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221313313121) 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 in 11 ways as a sum of consecutive naturals, for example, 72846840 + ... + 72849877.

It is an arithmetic number, because the mean of its divisors is an integer number (22145901136).

Almost surely, 2221313313123 is an apocalyptic number.

221313313123 is a deficient number, since it is larger than the sum of its proper divisors (44437500509).

221313313123 is a wasteful number, since it uses less digits than its factorization.

221313313123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145696762 (or 145696755 counting only the distinct ones).

The product of its digits is 1944, while the sum is 25.

Adding to 221313313123 its reverse (321313313122), we get a palindrome (542626626245).

Subtracting 221313313123 from its reverse (321313313122), we obtain a palindrome (99999999999).

The spelling of 221313313123 in words is "two hundred twenty-one billion, three hundred thirteen million, three hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 7 31 49 217 1519 145696717 1019877019 4516598227 7139139133 31616187589 221313313123