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130211224 = 231113432647
BaseRepresentation
bin1111100001011…
…01110110011000
3100002000102012221
413300231312120
5231313224344
620530513424
73140530363
oct760556630
9302012187
10130211224
1167556690
1237735874
1320c90980
14134170da
15b671184
hex7c2dd98

130211224 has 64 divisors (see below), whose sum is σ = 293610240. Its totient is φ = 53343360.

The previous prime is 130211209. The next prime is 130211227. The reversal of 130211224 is 422112031.

It is a junction number, because it is equal to n+sod(n) for n = 130211198 and 130211207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130211227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47869 + ... + 50515.

It is an arithmetic number, because the mean of its divisors is an integer number (4587660).

Almost surely, 2130211224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130211224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146805120).

130211224 is an abundant number, since it is smaller than the sum of its proper divisors (163399016).

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

130211224 is a wasteful number, since it uses less digits than its factorization.

130211224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 130211224 is about 11411.0132766551. The cubic root of 130211224 is about 506.8539170153.

Adding to 130211224 its reverse (422112031), we get a palindrome (552323255).

The spelling of 130211224 in words is "one hundred thirty million, two hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 43 44 52 86 88 104 143 172 286 344 473 559 572 946 1118 1144 1892 2236 2647 3784 4472 5294 6149 10588 12298 21176 24596 29117 34411 49192 58234 68822 113821 116468 137644 227642 232936 275288 378521 455284 757042 910568 1252031 1479673 1514084 2504062 2959346 3028168 5008124 5918692 10016248 11837384 16276403 32552806 65105612 130211224