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130312020 = 223523891061
BaseRepresentation
bin1111100010001…
…10011101010100
3100002012112111010
413301012131110
5231324441040
620533012220
73141430266
oct761063524
9302175433
10130312020
1167615393
1237784070
1320cc7807
1413441b36
15b690e80
hex7c46754

130312020 has 96 divisors (see below), whose sum is σ = 385378560. Its totient is φ = 32834560.

The previous prime is 130312019. The next prime is 130312037. The reversal of 130312020 is 20213031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130311987 and 130312005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122290 + ... + 123350.

It is an arithmetic number, because the mean of its divisors is an integer number (4014360).

Almost surely, 2130312020 is an apocalyptic number.

130312020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192689280).

130312020 is an abundant number, since it is smaller than the sum of its proper divisors (255066540).

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

130312020 is a wasteful number, since it uses less digits than its factorization.

130312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130312020 is about 11415.4290326733. The cubic root of 130312020 is about 506.9846678292.

Adding to 130312020 its reverse (20213031), we get a palindrome (150525051).

It can be divided in two parts, 13031 and 2020, that added together give a palindrome (15051).

The spelling of 130312020 in words is "one hundred thirty million, three hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 89 92 115 138 178 230 267 276 345 356 445 460 534 690 890 1061 1068 1335 1380 1780 2047 2122 2670 3183 4094 4244 5305 5340 6141 6366 8188 10235 10610 12282 12732 15915 20470 21220 24403 24564 30705 31830 40940 48806 61410 63660 73209 94429 97612 122015 122820 146418 188858 244030 283287 292836 366045 377716 472145 488060 566574 732090 944290 1133148 1416435 1464180 1888580 2171867 2832870 4343734 5665740 6515601 8687468 10859335 13031202 21718670 26062404 32578005 43437340 65156010 130312020