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13221032130 = 2325174184377
BaseRepresentation
bin11000101000000100…
…01111000011000010
31021010101201000112200
430110002033003002
5204034041012010
610023524334030
7645425630115
oct142402170302
937111630480
1013221032130
115674a23139
12268b844316
131329111147
148d5c6457c
15525a62cc0
hex31408f0c2

13221032130 has 48 divisors (see below), whose sum is σ = 34394835384. Its totient is φ = 3523541760.

The previous prime is 13221032129. The next prime is 13221032131. The reversal of 13221032130 is 3123012231.

13221032130 is a `hidden beast` number, since 132 + 210 + 321 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13221032129) and next prime (13221032131).

It can be written as a sum of positive squares in 4 ways, for example, as 8273175849 + 4947856281 = 90957^2 + 70341^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13221032131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114502 + ... + 198878.

Almost surely, 213221032130 is an apocalyptic number.

13221032130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13221032130 is an abundant number, since it is smaller than the sum of its proper divisors (21173803254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13221032130 is a wasteful number, since it uses less digits than its factorization.

13221032130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86131 (or 86128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13221032130 its reverse (3123012231), we get a palindrome (16344044361).

The spelling of 13221032130 in words is "thirteen billion, two hundred twenty-one million, thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1741 3482 5223 8705 10446 15669 17410 26115 31338 52230 78345 84377 156690 168754 253131 421885 506262 759393 843770 1265655 1518786 2531310 3796965 7593930 146900357 293800714 440701071 734501785 881402142 1322103213 1469003570 2203505355 2644206426 4407010710 6610516065 13221032130