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200122100100 = 2232521317104453
BaseRepresentation
bin1011101001100000110…
…1001110100110000100
3201010112212001000100100
42322120031032212010
511234322224200400
6231533531044100
720313132532656
oct2723015164604
9633485030310
10200122100100
117796478787a
12329505a0630
1315b436ccc60
1499863c66d6
155314042100
hex2e9834e984

200122100100 has 108 divisors (see below), whose sum is σ = 675523306276. Its totient is φ = 49260821760.

The previous prime is 200122100099. The next prime is 200122100377. The reversal of 200122100100 is 1001221002.

It can be written as a sum of positive squares in 6 ways, for example, as 136048896 + 199986051204 = 11664^2 + 447198^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8540527 + ... + 8563926.

Almost surely, 2200122100100 is an apocalyptic number.

200122100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200122100100 is an abundant number, since it is smaller than the sum of its proper divisors (475401206176).

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

200122100100 is a wasteful number, since it uses less digits than its factorization.

200122100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17104486 (or 17104476 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200122100100 its reverse (1001221002), we get a palindrome (201123321102).

The spelling of 200122100100 in words is "two hundred billion, one hundred twenty-two million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 17104453 34208906 51313359 68417812 85522265 102626718 153940077 171044530 205253436 222357889 256566795 307880154 342089060 427611325 444715778 513133590 615760308 667073667 769700385 855222650 889431556 1026267180 1111789445 1282833975 1334147334 1539400770 1710445300 2001221001 2223578890 2565667950 2668294668 3078801540 3335368335 3848501925 4002442002 4447157780 5131335900 5558947225 6670736670 7697003850 8004884004 10006105005 11117894450 13341473340 15394007700 16676841675 20012210010 22235788900 33353683350 40024420020 50030525025 66707366700 100061050050 200122100100