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200122112300 = 225211712562383
BaseRepresentation
bin1011101001100000110…
…1010001100100101100
3201010112212001122002012
42322120031101210230
511234322230043200
6231533531220352
720313132613355
oct2723015214454
9633485048065
10200122112300
1177964795a60
12329505a76b8
1315b43705686
1499863cad2c
155314045a35
hex2e9835192c

200122112300 has 72 divisors (see below), whose sum is σ = 480416251392. Its totient is φ = 71746696000.

The previous prime is 200122112263. The next prime is 200122112329. The reversal of 200122112300 is 3211221002.

It is a happy number.

200122112300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2001221123002 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1203092 + ... + 1359291.

It is an arithmetic number, because the mean of its divisors is an integer number (6672447936).

Almost surely, 2200122112300 is an apocalyptic number.

200122112300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200122112300 is an abundant number, since it is smaller than the sum of its proper divisors (280294139092).

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

200122112300 is a wasteful number, since it uses less digits than its factorization.

200122112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562479 (or 2562472 counting only the distinct ones).

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

Adding to 200122112300 its reverse (3211221002), we get a palindrome (203333333302).

It can be divided in two parts, 20012 and 2112300, that added together give a palindrome (2132312).

The spelling of 200122112300 in words is "two hundred billion, one hundred twenty-two million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 550 710 781 1100 1420 1562 1775 3124 3550 3905 7100 7810 15620 19525 39050 78100 2562383 5124766 10249532 12811915 25623830 28186213 51247660 56372426 64059575 112744852 128119150 140931065 181929193 256238300 281862130 363858386 563724260 704655325 727716772 909645965 1409310650 1819291930 2001221123 2818621300 3638583860 4002442246 4548229825 8004884492 9096459650 10006105615 18192919300 20012211230 40024422460 50030528075 100061056150 200122112300