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130125120 = 2635891523
BaseRepresentation
bin1111100000110…
…00110101000000
3100001212001002220
413300120311000
5231303000440
620525011040
73140021346
oct760306500
9301761086
10130125120
11674a7a24
12376b3a80
1320c60718
14133d3996
15b6558d0
hex7c18d40

130125120 has 112 divisors (see below), whose sum is σ = 418063680. Its totient is φ = 34287616.

The previous prime is 130125113. The next prime is 130125131. The reversal of 130125120 is 21521031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130125120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84679 + ... + 86201.

Almost surely, 2130125120 is an apocalyptic number.

130125120 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 130125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209031840).

130125120 is an abundant number, since it is smaller than the sum of its proper divisors (287938560).

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

130125120 is a wasteful number, since it uses less digits than its factorization.

130125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 130125120 is about 11407.2398063686. The cubic root of 130125120 is about 506.7421709576.

Adding to 130125120 its reverse (21521031), we get a palindrome (151646151).

It can be divided in two parts, 130 and 125120, that added together give a triangular number (125250 = T500).

The spelling of 130125120 in words is "one hundred thirty million, one hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 89 96 120 160 178 192 240 267 320 356 445 480 534 712 890 960 1068 1335 1424 1523 1780 2136 2670 2848 3046 3560 4272 4569 5340 5696 6092 7120 7615 8544 9138 10680 12184 14240 15230 17088 18276 21360 22845 24368 28480 30460 36552 42720 45690 48736 60920 73104 85440 91380 97472 121840 135547 146208 182760 243680 271094 292416 365520 406641 487360 542188 677735 731040 813282 1084376 1355470 1462080 1626564 2033205 2168752 2710940 3253128 4066410 4337504 5421880 6506256 8132820 8675008 10843760 13012512 16265640 21687520 26025024 32531280 43375040 65062560 130125120