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130222311300 = 223252155393169
BaseRepresentation
bin111100101000111011…
…0101100011110000100
3110110010102020211101200
41321101312230132010
54113143402430200
6135453500022500
712260013245154
oct1712166543604
9413112224350
10130222311300
1150255110984
12212a3231a30
13c383c71293
146434c18764
1535c2628800
hex1e51dac784

130222311300 has 108 divisors (see below), whose sum is σ = 408441813780. Its totient is φ = 34703216640.

The previous prime is 130222311287. The next prime is 130222311311. The reversal of 130222311300 is 3113222031.

130222311300 is a `hidden beast` number, since 1 + 30 + 2 + 22 + 311 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 47114496 + 130175196804 = 6864^2 + 360798^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 1351116 + ... + 1444284.

Almost surely, 2130222311300 is an apocalyptic number.

130222311300 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 130222311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204220906890).

130222311300 is an abundant number, since it is smaller than the sum of its proper divisors (278219502480).

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

130222311300 is a wasteful number, since it uses less digits than its factorization.

130222311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94742 (or 94732 counting only the distinct ones).

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

Adding to 130222311300 its reverse (3113222031), we get a palindrome (133335533331).

The spelling of 130222311300 in words is "one hundred thirty billion, two hundred twenty-two million, three hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1553 3106 4659 6212 7765 9318 13977 15530 18636 23295 27954 31060 38825 46590 55908 69885 77650 93169 93180 116475 139770 155300 186338 232950 279507 279540 349425 372676 465845 465900 559014 698850 838521 931690 1118028 1397535 1397700 1677042 1863380 2329225 2795070 3354084 4192605 4658450 5590140 6987675 8385210 9316900 13975350 16770420 20963025 27950700 41926050 83852100 144691457 289382914 434074371 578765828 723457285 868148742 1302223113 1446914570 1736297484 2170371855 2604446226 2893829140 3617286425 4340743710 5208892452 6511115565 7234572850 8681487420 10851859275 13022231130 14469145700 21703718550 26044462260 32555577825 43407437100 65111155650 130222311300