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203213330200 = 23524336076551
BaseRepresentation
bin1011110101000001110…
…1010101011100011000
3201102112021201202212001
42331100131111130120
511312140103031300
6233204354530344
720452546543426
oct2752035253430
9642467652761
10203213330200
11792006997a1
12334738969b4
1316216c772aa
149b9ab7a116
15544560716a
hex2f50755718

203213330200 has 96 divisors (see below), whose sum is σ = 483666543360. Its totient is φ = 79360848000.

The previous prime is 203213330153. The next prime is 203213330207. The reversal of 203213330200 is 2033312302.

It is a happy number.

203213330200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203213330207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31016925 + ... + 31023475.

It is an arithmetic number, because the mean of its divisors is an integer number (5038193160).

Almost surely, 2203213330200 is an apocalyptic number.

203213330200 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 203213330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241833271680).

203213330200 is an abundant number, since it is smaller than the sum of its proper divisors (280453213160).

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

203213330200 is a wasteful number, since it uses less digits than its factorization.

203213330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10217 (or 10208 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 203213330200 its reverse (2033312302), we get a palindrome (205246642502).

The spelling of 203213330200 in words is "two hundred three billion, two hundred thirteen million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1720 2150 3607 4300 6551 7214 8600 13102 14428 18035 26204 28856 32755 36070 52408 65510 72140 90175 131020 144280 155101 163775 180350 262040 281693 310202 327550 360700 563386 620404 655100 721400 775505 1126772 1240808 1310200 1408465 1551010 2253544 2816930 3102020 3877525 5633860 6204040 7042325 7755050 11267720 14084650 15510100 23629457 28169300 31020200 47258914 56338600 94517828 118147285 189035656 236294570 472589140 590736425 945178280 1016066651 1181472850 2032133302 2362945700 4064266604 4725891400 5080333255 8128533208 10160666510 20321333020 25401666275 40642666040 50803332550 101606665100 203213330200