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130221013221 = 32131113000113
BaseRepresentation
bin111100101000111000…
…1101111100011100101
3110110010022210212202200
41321101301233203211
54113143034410341
6135453412125113
712256666230525
oct1712161574345
9413108725680
10130221013221
1150254404692
12212a2906799
13c3839084a0
14643499b685
1535c246ddb6
hex1e51c6f8e5

130221013221 has 12 divisors (see below), whose sum is σ = 202566020748. Its totient is φ = 80136008064.

The previous prime is 130221013213. The next prime is 130221013261. The reversal of 130221013221 is 122310122031.

130221013221 is a `hidden beast` number, since 1 + 302 + 210 + 132 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56793562596 + 73427450625 = 238314^2 + 270975^2 .

It is not a de Polignac number, because 130221013221 - 23 = 130221013213 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 130221013194 and 130221013203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130221013201) 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, 556499940 + ... + 556500173.

It is an arithmetic number, because the mean of its divisors is an integer number (16880501729).

Almost surely, 2130221013221 is an apocalyptic number.

It is an amenable number.

130221013221 is a deficient number, since it is larger than the sum of its proper divisors (72345007527).

130221013221 is a wasteful number, since it uses less digits than its factorization.

130221013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113000132 (or 1113000129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130221013221 its reverse (122310122031), we get a palindrome (252531135252).

The spelling of 130221013221 in words is "one hundred thirty billion, two hundred twenty-one million, thirteen thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 1113000113 3339000339 10017001017 14469001469 43407004407 130221013221