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100000022220200 = 235241108891119949
BaseRepresentation
bin10110101111001100010001…
…110011010100110110101000
3111010001220112111010102200002
4112233030101303110312220
5101101400021142021300
6552403213115002132
730030522526046204
oct2657142163246650
9433056474112602
10100000022220200
1129954853603583
12b270811139348
1343a4c66925aab
141a9a053b57b04
15b8636b70d5d5
hex5af311cd4da8

100000022220200 has 96 divisors (see below), whose sum is σ = 238192869915000. Its totient is φ = 39020780236800.

The previous prime is 100000022220193. The next prime is 100000022220247. The reversal of 100000022220200 is 2022220000001.

It can be written as a sum of positive squares in 12 ways, for example, as 3021763375684 + 96978258844516 = 1738322^2 + 9847754^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88729826 + ... + 89849774.

Almost surely, 2100000022220200 is an apocalyptic number.

100000022220200 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 100000022220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119096434957500).

100000022220200 is an abundant number, since it is smaller than the sum of its proper divisors (138192847694800).

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

100000022220200 is a wasteful number, since it uses less digits than its factorization.

100000022220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130895 (or 1130886 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 100000022220200 its reverse (2022220000001), we get a palindrome (102022242220201).

The spelling of 100000022220200 in words is "one hundred trillion, twenty-two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 10889 21778 43556 54445 87112 108890 217780 272225 435560 446449 544450 892898 1088900 1119949 1785796 2177800 2232245 2239898 3571592 4464490 4479796 5599745 8928980 8959592 11161225 11199490 17857960 22322450 22398980 27998725 44644900 44797960 45917909 55997450 89289800 91835818 111994900 183671636 223989800 229589545 367343272 459179090 918358180 1147947725 1836716360 2295895450 4591790900 9183581800 12195124661 24390249322 48780498644 60975623305 97560997288 121951246610 243902493220 304878116525 487804986440 500000111101 609756233050 1000000222202 1219512466100 2000000444404 2439024932200 2500000555505 4000000888808 5000001111010 10000002222020 12500002777525 20000004444040 25000005555050 50000011110100 100000022220200