Search a number
-
+
130200434100 = 223352114383853
BaseRepresentation
bin111100101000010001…
…1001111010110110100
3110110001220002100112000
41321100203033112310
54113122302342400
6135451355055300
712256326300222
oct1712043172664
9413056070460
10130200434100
1150243829250
1221297a41530
13c37c5815a9
146431d61b12
1535c0756600
hex1e508cf5b4

130200434100 has 144 divisors (see below), whose sum is σ = 456622232640. Its totient is φ = 31563734400.

The previous prime is 130200434083. The next prime is 130200434123. The reversal of 130200434100 is 1434002031.

130200434100 is a `hidden beast` number, since 1 + 30 + 200 + 434 + 1 + 0 + 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, 2162227 + ... + 2221626.

Almost surely, 2130200434100 is an apocalyptic number.

130200434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130200434100 is an abundant number, since it is smaller than the sum of its proper divisors (326421798540).

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

130200434100 is a wasteful number, since it uses less digits than its factorization.

130200434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383887 (or 4383874 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130200434100 its reverse (1434002031), we get a palindrome (131634436131).

The spelling of 130200434100 in words is "one hundred thirty billion, two hundred million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 4383853 8767706 13151559 17535412 21919265 26303118 39454677 43838530 48222383 52606236 65757795 78909354 87677060 96444766 109596325 118364031 131515590 144667149 157818708 192889532 197273385 219192650 236728062 241111915 263031180 289334298 328788975 394546770 434001447 438385300 473456124 482223830 578668596 591820155 657577950 723335745 789093540 868002894 964447660 986366925 1183640310 1205559575 1302004341 1315155900 1446671490 1736005788 1972733850 2170007235 2367280620 2411119150 2604008682 2893342980 2959100775 3616678725 3945467700 4340014470 4822238300 5208017364 5918201550 6510021705 7233357450 8680028940 10850036175 11836403100 13020043410 14466714900 21700072350 26040086820 32550108525 43400144700 65100217050 130200434100