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130301241200 = 24521379317189
BaseRepresentation
bin111100101011010001…
…1110010011101110000
3110110022220202212212022
41321112203302131300
54113324104204300
6135505355451012
712261662163404
oct1712643623560
9413286685768
10130301241200
11502957210a9
1221305756a68
13c397418570
1464414c3104
1535c951a285
hex1e568f2770

130301241200 has 120 divisors (see below), whose sum is σ = 341397940800. Its totient is φ = 47502074880.

The previous prime is 130301241101. The next prime is 130301241227. The reversal of 130301241200 is 2142103031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252206 + ... + 569394.

It is an arithmetic number, because the mean of its divisors is an integer number (2844982840).

Almost surely, 2130301241200 is an apocalyptic number.

130301241200 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 130301241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170698970400).

130301241200 is an abundant number, since it is smaller than the sum of its proper divisors (211096699600).

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

130301241200 is a wasteful number, since it uses less digits than its factorization.

130301241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317299 (or 317288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 130301241200 its reverse (2142103031), we get a palindrome (132443344231).

The spelling of 130301241200 in words is "one hundred thirty billion, three hundred one million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 79 80 100 104 130 158 200 208 260 316 325 395 400 520 632 650 790 1027 1040 1264 1300 1580 1975 2054 2600 3160 3950 4108 5135 5200 6320 7900 8216 10270 15800 16432 20540 25675 31600 41080 51350 82160 102700 205400 317189 410800 634378 1268756 1585945 2537512 3171890 4123457 5075024 6343780 7929725 8246914 12687560 15859450 16493828 20617285 25057931 25375120 31718900 32987656 41234570 50115862 63437800 65975312 82469140 100231724 103086425 125289655 126875600 164938280 200463448 206172850 250579310 325753103 329876560 400926896 412345700 501158620 626448275 651506206 824691400 1002317240 1252896550 1303012412 1628765515 1649382800 2004634480 2505793100 2606024824 3257531030 5011586200 5212049648 6515062060 8143827575 10023172400 13030124120 16287655150 26060248240 32575310300 65150620600 130301241200