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200099520100 = 225241713671873
BaseRepresentation
bin1011101001011011011…
…1000101111001100100
3201010111021112211102001
42322112313011321210
511234300434120400
6231531403055044
720312436600034
oct2722667057144
9633437484361
10200099520100
1177952a65117
1232944b11484
1315b3bb253cc
1499833c98c4
155312081a6a
hex2e96dc5e64

200099520100 has 144 divisors (see below), whose sum is σ = 452542035456. Its totient is φ = 76737024000.

The previous prime is 200099520077. The next prime is 200099520113. The reversal of 200099520100 is 1025990002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106832764 + ... + 106834636.

It is an arithmetic number, because the mean of its divisors is an integer number (3142653024).

Almost surely, 2200099520100 is an apocalyptic number.

200099520100 is a gapful number since it is divisible by the number (20) 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 200099520100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226271017728).

200099520100 is an abundant number, since it is smaller than the sum of its proper divisors (252442515356).

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

200099520100 is a wasteful number, since it uses less digits than its factorization.

200099520100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2366 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 200099520100 in words is "two hundred billion, ninety-nine million, five hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 71 82 100 142 164 205 284 355 367 410 710 734 820 1025 1420 1468 1775 1835 1873 2050 2911 3550 3670 3746 4100 5822 7100 7340 7492 9175 9365 11644 14555 15047 18350 18730 26057 29110 30094 36700 37460 46825 52114 58220 60188 72775 75235 76793 93650 104228 130285 132983 145550 150470 153586 187300 260570 265966 291100 300940 307172 376175 383965 521140 531932 651425 664915 687391 752350 767930 1068337 1302850 1329830 1374782 1504700 1535860 1919825 2136674 2605700 2659660 2749564 3324575 3436955 3839650 4273348 5341685 5452303 6649150 6873910 7679300 10683370 10904606 13298300 13747820 17184775 21366740 21809212 26708425 27261515 28183031 34369550 48804761 53416850 54523030 56366062 68739100 97609522 106833700 109046060 112732124 136307575 140915155 195219044 244023805 272615150 281830310 488047610 545230300 563660620 704575775 976095220 1220119025 1409151550 2000995201 2440238050 2818303100 4001990402 4880476100 8003980804 10004976005 20009952010 40019904020 50024880025 100049760050 200099520100