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13010212212101 = 134726921172133
BaseRepresentation
bin1011110101010010110100…
…0100111100110110000101
31201001202122001120122200022
42331110231010330312011
53201124403311241401
643400450423424525
72511646121102456
oct275245504746605
951052561518608
1013010212212101
114166666688905
1215615718b5145
13734b1c617580
1432d9aa42912d
1517865aeb271b
hexbd52d13cd85

13010212212101 has 8 divisors (see below), whose sum is σ = 14011294838520. Its totient is φ = 12009172024512.

The previous prime is 13010212212089. The next prime is 13010212212113. The reversal of 13010212212101 is 10121221201031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13010212212089) and next prime (13010212212113).

It can be written as a sum of positive squares in 4 ways, for example, as 3060767745025 + 9949444467076 = 1749505^2 + 3154274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13010212212101 - 26 = 13010212212037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13010212212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010212212131) 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 in 7 ways as a sum of consecutive naturals, for example, 9971570 + ... + 11200563.

It is an arithmetic number, because the mean of its divisors is an integer number (1751411854815).

Almost surely, 213010212212101 is an apocalyptic number.

It is an amenable number.

13010212212101 is a deficient number, since it is larger than the sum of its proper divisors (1001082626419).

13010212212101 is a wasteful number, since it uses less digits than its factorization.

13010212212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21219415.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 13010212212101 its reverse (10121221201031), we get a palindrome (23131433413132).

The spelling of 13010212212101 in words is "thirteen trillion, ten billion, two hundred twelve million, two hundred twelve thousand, one hundred one".

Divisors: 1 13 47269 614497 21172133 275237729 1000785554777 13010212212101