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130322221232 = 24721813112953
BaseRepresentation
bin111100101011111001…
…1110100100010110000
3110110101101020210001112
41321113303310202300
54113344442034412
6135511425252452
712262335413600
oct1712763644260
9413341223045
10130322221232
11502a6550775
1221310794128
13c39b882a98
1464441c4c00
1535cb2b1722
hex1e57cf48b0

130322221232 has 120 divisors (see below), whose sum is σ = 296396466912. Its totient is φ = 55346457600.

The previous prime is 130322221231. The next prime is 130322221261. The reversal of 130322221232 is 232122223031.

It is a junction number, because it is equal to n+sod(n) for n = 130322221198 and 130322221207.

It is not an unprimeable number, because it can be changed into a prime (130322221231) 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, 44130668 + ... + 44133620.

Almost surely, 2130322221232 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 130322221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148198233456).

130322221232 is an abundant number, since it is smaller than the sum of its proper divisors (166074245680).

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

130322221232 is a wasteful number, since it uses less digits than its factorization.

130322221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 130322221232 its reverse (232122223031), we get a palindrome (362444444263).

The spelling of 130322221232 in words is "one hundred thirty billion, three hundred twenty-two million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 181 196 311 362 392 622 724 784 1244 1267 1448 2177 2488 2534 2896 2953 4354 4976 5068 5906 8708 8869 10136 11812 15239 17416 17738 20272 20671 23624 30478 34832 35476 41342 47248 56291 60956 70952 82684 112582 121912 141904 144697 165368 225164 243824 289394 330736 394037 450328 534493 578788 788074 900656 918383 1068986 1157576 1576148 1836766 2137972 2315152 2758259 3152296 3673532 3741451 4275944 5516518 6304592 6428681 7347064 7482902 8551888 11033036 12857362 14694128 14965804 22066072 25714724 26190157 29931608 44132144 45000767 51429448 52380314 59863216 90001534 102858896 104760628 166227323 180003068 209521256 332454646 360006136 419042512 664909292 720012272 1163591261 1329818584 2327182522 2659637168 4654365044 8145138827 9308730088 16290277654 18617460176 32580555308 65161110616 130322221232