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130113310221 = 321916335913003
BaseRepresentation
bin111100100101101011…
…0111000111000001101
3110102211211011000000200
41321023112320320031
54112433001411341
6135435003444113
712254220613566
oct1711326707015
9412754130020
10130113310221
11501a9631844
1221272826639
13c3674c87bb
14642456316d
1535b7c96db6
hex1e4b5b8e0d

130113310221 has 48 divisors (see below), whose sum is σ = 199616601600. Its totient is φ = 81438911136.

The previous prime is 130113310213. The next prime is 130113310231. The reversal of 130113310221 is 122013311031.

130113310221 is a `hidden beast` number, since 1 + 301 + 133 + 10 + 221 = 666.

It is not a de Polignac number, because 130113310221 - 23 = 130113310213 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 130113310194 and 130113310203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130113310231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9999906 + ... + 10012908.

It is an arithmetic number, because the mean of its divisors is an integer number (4158679200).

Almost surely, 2130113310221 is an apocalyptic number.

It is an amenable number.

130113310221 is a deficient number, since it is larger than the sum of its proper divisors (69503291379).

130113310221 is a wasteful number, since it uses less digits than its factorization.

130113310221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13550 (or 13547 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 130113310221 its reverse (122013311031), we get a palindrome (252126621252).

The spelling of 130113310221 in words is "one hundred thirty billion, one hundred thirteen million, three hundred ten thousand, two hundred twenty-one".

Divisors: 1 3 9 19 57 163 171 359 489 1077 1467 3097 3231 6821 9291 13003 20463 27873 39009 58517 61389 117027 175551 247057 526653 741171 1111823 2119489 2223513 3335469 4668077 6358467 10006407 14004231 19075401 40270291 42012693 88693463 120810873 266080389 362432619 760896551 798241167 2282689653 6848068959 14457034469 43371103407 130113310221