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130301213220 = 223352310491241
BaseRepresentation
bin111100101011010001…
…1101011101000100100
3110110022220201110111000
41321112203223220210
54113324102310340
6135505355113300
712261662016003
oct1712643535044
9413286643430
10130301213220
1150295702082
1221305742830
13c3974088c9
1464414b6c3a
1535c9511d30
hex1e568eba24

130301213220 has 96 divisors (see below), whose sum is σ = 423006877440. Its totient is φ = 33236248320.

The previous prime is 130301213167. The next prime is 130301213249. The reversal of 130301213220 is 22312103031.

130301213220 is a `hidden beast` number, since 130 + 301 + 2 + 13 + 220 = 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 = 130301213193 and 130301213202.

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 31 ways as a sum of consecutive naturals, for example, 5233201 + ... + 5258040.

It is an arithmetic number, because the mean of its divisors is an integer number (4406321640).

Almost surely, 2130301213220 is an apocalyptic number.

130301213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130301213220 is an abundant number, since it is smaller than the sum of its proper divisors (292705664220).

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

130301213220 is a wasteful number, since it uses less digits than its factorization.

130301213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10491282 (or 10491274 counting only the distinct ones).

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

Adding to 130301213220 its reverse (22312103031), we get a palindrome (152613316251).

The spelling of 130301213220 in words is "one hundred thirty billion, three hundred one million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 180 207 230 270 276 345 414 460 540 621 690 828 1035 1242 1380 2070 2484 3105 4140 6210 12420 10491241 20982482 31473723 41964964 52456205 62947446 94421169 104912410 125894892 157368615 188842338 209824820 241298543 283263507 314737230 377684676 472105845 482597086 566527014 629474460 723895629 944211690 965194172 1133054028 1206492715 1416317535 1447791258 1888423380 2171686887 2412985430 2832635070 2895582516 3619478145 4343373774 4825970860 5665270140 6515060661 7238956290 8686747548 10858434435 13030121322 14477912580 21716868870 26060242644 32575303305 43433737740 65150606610 130301213220