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101320221200 = 24521122093393
BaseRepresentation
bin101111001011100100…
…1111110001000010000
3100200112011212112021012
41132113021332020100
53130000434034300
6114313523550052
710214544445622
oct1362711761020
9320464775235
10101320221200
1139a73694900
1217777b2b328
1397291a7713
144c92526c12
1529800c1435
hex179727e210

101320221200 has 90 divisors (see below), whose sum is σ = 267562967322. Its totient is φ = 36843699200.

The previous prime is 101320221179. The next prime is 101320221259. The reversal of 101320221200 is 2122023101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1180884496 + 100139336704 = 34364^2 + 316448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 998297 + ... + 1095096.

Almost surely, 2101320221200 is an apocalyptic number.

101320221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101320221200 is an abundant number, since it is smaller than the sum of its proper divisors (166242746122).

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

101320221200 is a wasteful number, since it uses less digits than its factorization.

101320221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093433 (or 2093411 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101320221200 its reverse (2122023101), we get a palindrome (103442244301).

The spelling of 101320221200 in words is "one hundred one billion, three hundred twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4840 6050 9680 12100 24200 48400 2093393 4186786 8373572 10466965 16747144 20933930 23027323 33494288 41867860 46054646 52334825 83735720 92109292 104669650 115136615 167471440 184218584 209339300 230273230 253300553 368437168 418678600 460546460 506601106 575683075 837357200 921092920 1013202212 1151366150 1266502765 1842185840 2026404424 2302732300 2533005530 4052808848 4605464600 5066011060 6332513825 9210929200 10132022120 12665027650 20264044240 25330055300 50660110600 101320221200