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130302120 = 233513101827
BaseRepresentation
bin1111100010001…
…00000010101000
3100002012000220110
413301010002220
5231324131440
620532454320
73141356364
oct761040250
9302160813
10130302120
1167608a03
123777a3a0
1320cc3160
141343c2a4
15b68d080
hex7c440a8

130302120 has 128 divisors (see below), whose sum is σ = 425658240. Its totient is φ = 31718400.

The previous prime is 130302113. The next prime is 130302121. The reversal of 130302120 is 21203031.

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 = 130302096 and 130302105.

It is not an unprimeable number, because it can be changed into a prime (130302121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157147 + ... + 157973.

It is an arithmetic number, because the mean of its divisors is an integer number (3325455).

Almost surely, 2130302120 is an apocalyptic number.

130302120 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 130302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212829120).

130302120 is an abundant number, since it is smaller than the sum of its proper divisors (295356120).

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

130302120 is a wasteful number, since it uses less digits than its factorization.

130302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 951 counting only the distinct ones).

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

The square root of 130302120 is about 11414.9954007875. The cubic root of 130302120 is about 506.9718287083.

Adding to 130302120 its reverse (21203031), we get a palindrome (151505151).

The spelling of 130302120 in words is "one hundred thirty million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 101 104 120 130 156 195 202 260 303 312 390 404 505 520 606 780 808 827 1010 1212 1313 1515 1560 1654 2020 2424 2481 2626 3030 3308 3939 4040 4135 4962 5252 6060 6565 6616 7878 8270 9924 10504 10751 12120 12405 13130 15756 16540 19695 19848 21502 24810 26260 31512 32253 33080 39390 43004 49620 52520 53755 64506 78780 83527 86008 99240 107510 129012 157560 161265 167054 215020 250581 258024 322530 334108 417635 430040 501162 645060 668216 835270 1002324 1085851 1252905 1290120 1670540 2004648 2171702 2505810 3257553 3341080 4343404 5011620 5429255 6515106 8686808 10023240 10858510 13030212 16287765 21717020 26060424 32575530 43434040 65151060 130302120