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130203120 = 24351134801
BaseRepresentation
bin1111100001010…
…11110111110000
3100002000000002210
413300223313300
5231312444440
620530412120
73140464635
oct760536760
9302000083
10130203120
1167550593
1237731040
1320c8a088
141341418c
15b66da80
hex7c2bdf0

130203120 has 80 divisors (see below), whose sum is σ = 407286432. Its totient is φ = 34406400.

The previous prime is 130203089. The next prime is 130203121. The reversal of 130203120 is 21302031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 130203096 and 130203105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130203121) 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, 24720 + ... + 29520.

Almost surely, 2130203120 is an apocalyptic number.

130203120 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 130203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203643216).

130203120 is an abundant number, since it is smaller than the sum of its proper divisors (277083312).

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

130203120 is a wasteful number, since it uses less digits than its factorization.

130203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4930 (or 4924 counting only the distinct ones).

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

The square root of 130203120 is about 11410.6581755830. The cubic root of 130203120 is about 506.8434017176.

Adding to 130203120 its reverse (21302031), we get a palindrome (151505151).

The spelling of 130203120 in words is "one hundred thirty million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 4801 5424 6780 9040 9602 13560 14403 19204 24005 27120 28806 38408 48010 57612 72015 76816 96020 115224 144030 192040 230448 288060 384080 542513 576120 1085026 1152240 1627539 2170052 2712565 3255078 4340104 5425130 6510156 8137695 8680208 10850260 13020312 16275390 21700520 26040624 32550780 43401040 65101560 130203120