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130320001130220 = 2232511257256101877
BaseRepresentation
bin11101101000011001111101…
…010111111101111011101100
3122002102110200221121000010200
4131220121331113331323230
5114040130330242131340
61141100103152433500
736310211054346126
oct3550317527757354
9562373627530120
10130320001130220
1138584447225710
1212748a80848890
13579417b095c95
1424277437dc216
15100edc7b48330
hex76867d5fdeec

130320001130220 has 144 divisors (see below), whose sum is σ = 432918712201248. Its totient is φ = 31469798522880.

The previous prime is 130320001130219. The next prime is 130320001130239. The reversal of 130320001130220 is 22031100023031.

130320001130220 is a `hidden beast` number, since 1 + 30 + 320 + 0 + 0 + 11 + 302 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 130320001130193 and 130320001130202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127542079 + ... + 128559798.

It is an arithmetic number, because the mean of its divisors is an integer number (3006379945842).

Almost surely, 2130320001130220 is an apocalyptic number.

130320001130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130320001130220 is an abundant number, since it is smaller than the sum of its proper divisors (302598711071028).

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

130320001130220 is a wasteful number, since it uses less digits than its factorization.

130320001130220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256102160 (or 256102155 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130320001130220 its reverse (22031100023031), we get a palindrome (152351101153251).

The spelling of 130320001130220 in words is "one hundred thirty trillion, three hundred twenty billion, one million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 257 330 396 495 514 660 771 990 1028 1285 1542 1980 2313 2570 2827 3084 3855 4626 5140 5654 7710 8481 9252 11308 11565 14135 15420 16962 23130 25443 28270 33924 42405 46260 50886 56540 84810 101772 127215 169620 254430 508860 256101877 512203754 768305631 1024407508 1280509385 1536611262 2304916893 2561018770 2817120647 3073222524 3841528155 4609833786 5122037540 5634241294 7683056310 8451361941 9219667572 11268482588 11524584465 14085603235 15366112620 16902723882 23049168930 25354085823 28171206470 33805447764 42256809705 46098337860 50708171646 56342412940 65818182389 84513619410 101416343292 126770429115 131636364778 169027238820 197454547167 253540858230 263272729556 329090911945 394909094334 507081716460 592363641501 658181823890 724000006279 789818188668 987272735835 1184727283002 1316363647780 1448000012558 1974545471670 2172000018837 2369454566004 2896000025116 2961818207505 3620000031395 3949090943340 4344000037674 5923636415010 6516000056511 7240000062790 8688000075348 10860000094185 11847272830020 13032000113022 14480000125580 21720000188370 26064000226044 32580000282555 43440000376740 65160000565110 130320001130220