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130220112300 = 223522941365069
BaseRepresentation
bin111100101000110111…
…0010011100110101100
3110110010021010002221020
41321101232103212230
54113142322043200
6135453340534140
712256655456115
oct1712156234654
9413107102836
10130220112300
1150253949823
12212a2551350
13c3836813b5
14643480520c
1535c2341ea0
hex1e51b939ac

130220112300 has 144 divisors (see below), whose sum is σ = 399269757600. Its totient is φ = 32710092800.

The previous prime is 130220112293. The next prime is 130220112301. The reversal of 130220112300 is 3211022031.

It is a super-2 number, since 2×1302201123002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130220112300.

It is not an unprimeable number, because it can be changed into a prime (130220112301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174166 + ... + 539234.

It is an arithmetic number, because the mean of its divisors is an integer number (2772706650).

Almost surely, 2130220112300 is an apocalyptic number.

130220112300 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 130220112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199634878800).

130220112300 is an abundant number, since it is smaller than the sum of its proper divisors (269049645300).

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

130220112300 is a wasteful number, since it uses less digits than its factorization.

130220112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365156 (or 365149 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130220112300 its reverse (3211022031), we get a palindrome (133431134331).

The spelling of 130220112300 in words is "one hundred thirty billion, two hundred twenty million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 41 50 58 60 75 82 87 100 116 123 145 150 164 174 205 246 290 300 348 410 435 492 580 615 725 820 870 1025 1189 1230 1450 1740 2050 2175 2378 2460 2900 3075 3567 4100 4350 4756 5945 6150 7134 8700 11890 12300 14268 17835 23780 29725 35670 59450 71340 89175 118900 178350 356700 365069 730138 1095207 1460276 1825345 2190414 3650690 4380828 5476035 7301380 9126725 10587001 10952070 14967829 18253450 21174002 21904140 27380175 29935658 31761003 36506900 42348004 44903487 52935005 54760350 59871316 63522006 74839145 89806974 105870010 109520700 127044012 149678290 158805015 179613948 211740020 224517435 264675025 299356580 317610030 374195725 434067041 449034870 529350050 635220060 748391450 794025075 868134082 898069740 1058700100 1122587175 1302201123 1496782900 1588050150 1736268164 2170335205 2245174350 2604402246 3176100300 4340670410 4490348700 5208804492 6511005615 8681340820 10851676025 13022011230 21703352050 26044022460 32555028075 43406704100 65110056150 130220112300