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130101313221 = 32111314154679
BaseRepresentation
bin111100100101010100…
…1000111111011000101
3110102210222120111020100
41321022221013323011
54112421414010341
6135433454354313
712254013626115
oct1711251077305
9412728514210
10130101313221
11501a2888270
122126a7bb999
13c364b87c99
146422b1d045
1535b6bc73b6
hex1e4aa47ec5

130101313221 has 12 divisors (see below), whose sum is σ = 205008130080. Its totient is φ = 78849280680.

The previous prime is 130101313217. The next prime is 130101313231. The reversal of 130101313221 is 122313101031.

130101313221 is a `hidden beast` number, since 1 + 30 + 101 + 313 + 221 = 666.

It is not a de Polignac number, because 130101313221 - 22 = 130101313217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130101313194 and 130101313203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130101313231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657077241 + ... + 657077438.

It is an arithmetic number, because the mean of its divisors is an integer number (17084010840).

Almost surely, 2130101313221 is an apocalyptic number.

130101313221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

130101313221 is a deficient number, since it is larger than the sum of its proper divisors (74906816859).

130101313221 is a wasteful number, since it uses less digits than its factorization.

130101313221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314154696 (or 1314154693 counting only the distinct ones).

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

Adding to 130101313221 its reverse (122313101031), we get a palindrome (252414414252).

It can be divided in two parts, 13010 and 1313221, that added together give a palindrome (1326231).

The spelling of 130101313221 in words is "one hundred thirty billion, one hundred one million, three hundred thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 1314154679 3942464037 11827392111 14455701469 43367104407 130101313221