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200122221100 = 225219337327799
BaseRepresentation
bin1011101001100000110…
…1101100001000101100
3201010112212021011022211
42322120031230020230
511234322242033400
6231533533420204
720313133545514
oct2723015541054
9633485234284
10200122221100
117796485a77a
123295063a664
1315b43743059
149986418844
155314067dba
hex2e9836c22c

200122221100 has 72 divisors (see below), whose sum is σ = 437701325600. Its totient is φ = 79417774080.

The previous prime is 200122221041. The next prime is 200122221109. The reversal of 200122221100 is 1122221002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (200122221109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7185001 + ... + 7212799.

Almost surely, 2200122221100 is an apocalyptic number.

200122221100 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 200122221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218850662800).

200122221100 is an abundant number, since it is smaller than the sum of its proper divisors (237579104500).

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

200122221100 is a wasteful number, since it uses less digits than its factorization.

200122221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28379 (or 28372 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200122221100 its reverse (1122221002), we get a palindrome (201244442102).

The spelling of 200122221100 in words is "two hundred billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 193 373 386 746 772 965 1492 1865 1930 3730 3860 4825 7460 9325 9650 18650 19300 27799 37300 55598 71989 111196 138995 143978 277990 287956 359945 555980 694975 719890 1389950 1439780 1799725 2779900 3599450 5365207 7198900 10369027 10730414 20738054 21460828 26826035 41476108 51845135 53652070 103690270 107304140 134130175 207380540 259225675 268260350 518451350 536520700 1036902700 2001222211 4002444422 8004888844 10006111055 20012222110 40024444220 50030555275 100061110550 200122221100