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130023033300 = 223352181266059
BaseRepresentation
bin111100100010111111…
…0100000100111010100
3110102121112021110101000
41321011332200213110
54112241344031200
6135422020503300
712252043355556
oct1710576404724
9412545243330
10130023033300
1150162681416
122124854ab30
13c3518aa7c4
1464165834d6
1535aedb3300
hex1e45fa09d4

130023033300 has 144 divisors (see below), whose sum is σ = 420310945600. Its totient is φ = 34481116800.

The previous prime is 130023033293. The next prime is 130023033313. The reversal of 130023033300 is 3330320031.

130023033300 is a `hidden beast` number, since 1 + 30 + 0 + 2 + 303 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355671 + ... + 621729.

Almost surely, 2130023033300 is an apocalyptic number.

130023033300 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 130023033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210155472800).

130023033300 is an abundant number, since it is smaller than the sum of its proper divisors (290287912300).

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

130023033300 is a wasteful number, since it uses less digits than its factorization.

130023033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266263 (or 266250 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 130023033300 its reverse (3330320031), we get a palindrome (133353353331).

The spelling of 130023033300 in words is "one hundred thirty billion, twenty-three million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 181 225 270 300 362 450 540 543 675 724 900 905 1086 1350 1629 1810 2172 2700 2715 3258 3620 4525 4887 5430 6516 8145 9050 9774 10860 13575 16290 18100 19548 24435 27150 32580 40725 48870 54300 81450 97740 122175 162900 244350 266059 488700 532118 798177 1064236 1330295 1596354 2394531 2660590 3192708 3990885 4789062 5321180 6651475 7183593 7981770 9578124 11972655 13302950 14367186 15963540 19954425 23945310 26605900 28734372 35917965 39908850 47890620 48156679 59863275 71835930 79817700 96313358 119726550 143671860 144470037 179589825 192626716 239453100 240783395 288940074 359179650 433410111 481566790 577880148 718359300 722350185 866820222 963133580 1203916975 1300230333 1444700370 1733640444 2167050555 2407833950 2600460666 2889400740 3611750925 4334101110 4815667900 5200921332 6501151665 7223501850 8668202220 10835252775 13002303330 14447003700 21670505550 26004606660 32505758325 43341011100 65011516650 130023033300