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130201240 = 235133141197
BaseRepresentation
bin1111100001010…
…11011010011000
3100001222220112011
413300223122120
5231312414430
620530355304
73140456311
oct760533230
9301886464
10130201240
116754a134
123772bb34
1320c89270
1413413608
15b66d22a
hex7c2b698

130201240 has 128 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 45158400.

The previous prime is 130201237. The next prime is 130201273. The reversal of 130201240 is 42102031.

130201240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 130201240.

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, 660822 + ... + 661018.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2130201240 is an apocalyptic number.

130201240 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 130201240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

130201240 is an abundant number, since it is smaller than the sum of its proper divisors (205099880).

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

130201240 is a wasteful number, since it uses less digits than its factorization.

130201240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 130201240 is about 11410.5757961638. The cubic root of 130201240 is about 506.8409622723.

Adding to 130201240 its reverse (42102031), we get a palindrome (172303271).

The spelling of 130201240 in words is "one hundred thirty million, two hundred one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 41 52 62 65 82 104 124 130 155 164 197 205 248 260 310 328 394 403 410 520 533 620 788 806 820 985 1066 1240 1271 1576 1612 1640 1970 2015 2132 2542 2561 2665 3224 3940 4030 4264 5084 5122 5330 6107 6355 7880 8060 8077 10168 10244 10660 12214 12710 12805 16120 16154 16523 20488 21320 24428 25420 25610 30535 32308 33046 40385 48856 50840 51220 61070 64616 66092 79391 80770 82615 102440 105001 122140 132184 158782 161540 165230 210002 244280 250387 317564 323080 330460 396955 420004 500774 525005 635128 660920 793910 840008 1001548 1050010 1251935 1587820 2003096 2100020 2503870 3175640 3255031 4200040 5007740 6510062 10015480 13020124 16275155 26040248 32550310 65100620 130201240