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130312380 = 223511347569
BaseRepresentation
bin1111100010001…
…10100010111100
3100002012112222110
413301012202330
5231324444010
620533014020
73141431322
oct761064274
9302175873
10130312380
1167615690
1237784310
1320cc7a23
1413441d12
15b691120
hex7c468bc

130312380 has 96 divisors (see below), whose sum is σ = 399893760. Its totient is φ = 31444480.

The previous prime is 130312367. The next prime is 130312397. The reversal of 130312380 is 83213031.

It is a happy number.

130312380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 228736 + ... + 229304.

It is an arithmetic number, because the mean of its divisors is an integer number (4165560).

Almost surely, 2130312380 is an apocalyptic number.

130312380 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 130312380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199946880).

130312380 is an abundant number, since it is smaller than the sum of its proper divisors (269581380).

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

130312380 is a wasteful number, since it uses less digits than its factorization.

130312380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 130312380 is about 11415.4448007951. Note that the first 3 decimals coincide. The cubic root of 130312380 is about 506.9851346940.

The spelling of 130312380 in words is "one hundred thirty million, three hundred twelve thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 347 569 660 694 1041 1138 1388 1707 1735 2082 2276 2845 3414 3470 3817 4164 5205 5690 6259 6828 6940 7634 8535 10410 11380 11451 12518 15268 17070 18777 19085 20820 22902 25036 31295 34140 37554 38170 45804 57255 62590 75108 76340 93885 114510 125180 187770 197443 229020 375540 394886 592329 789772 987215 1184658 1974430 2171873 2369316 2961645 3948860 4343746 5923290 6515619 8687492 10859365 11846580 13031238 21718730 26062476 32578095 43437460 65156190 130312380