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130210120001221 = 1380912380918513
BaseRepresentation
bin11101100110110011100111…
…111100101110011011000101
3122002000222002010212022010021
4131212303213330232123011
5114031330311210014341
61140533411530455141
736266241105225301
oct3546634774563305
9562028063768107
10130210120001221
11385418901960a7
121272b7158944b1
1357869b93b9160
1424222bc31cd01
15100c0e61d19d1
hex766ce7f2e6c5

130210120001221 has 8 divisors (see below), whose sum is σ = 140399615948760. Its totient is φ = 120045385892352.

The previous prime is 130210120001219. The next prime is 130210120001323. The reversal of 130210120001221 is 122100021012031.

It can be written as a sum of positive squares in 4 ways, for example, as 10428346197025 + 119781773804196 = 3229295^2 + 10944486^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 130210120001221 - 21 = 130210120001219 is a prime.

It is a super-2 number, since 2×1302101200012212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130210120001195 and 130210120001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130210120001201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6190448740 + ... + 6190469773.

It is an arithmetic number, because the mean of its divisors is an integer number (17549951993595).

Almost surely, 2130210120001221 is an apocalyptic number.

It is an amenable number.

130210120001221 is a deficient number, since it is larger than the sum of its proper divisors (10189495947539).

130210120001221 is a wasteful number, since it uses less digits than its factorization.

130210120001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12380919335.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 130210120001221 its reverse (122100021012031), we get a palindrome (252310141013252).

The spelling of 130210120001221 in words is "one hundred thirty trillion, two hundred ten billion, one hundred twenty million, one thousand, two hundred twenty-one".

Divisors: 1 13 809 10517 12380918513 160951940669 10016163077017 130210120001221