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203130222120 = 233757674951
BaseRepresentation
bin1011110100101110000…
…0010011011000101000
3201102022111100110000000
42331023200103120220
511312002314101440
6233152225343000
720450520254010
oct2751340233050
9642274313000
10203130222120
1179168795431
123344ba97a60
1316202999307
149b8db04c40
15543d18c730
hex2f4b813628

203130222120 has 512 divisors, whose sum is σ = 795235737600. Its totient is φ = 45727545600.

The previous prime is 203130222107. The next prime is 203130222121. The reversal of 203130222120 is 21222031302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203130222093 and 203130222102.

It is not an unprimeable number, because it can be changed into a prime (203130222121) 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 127 ways as a sum of consecutive naturals, for example, 41025645 + ... + 41030595.

It is an arithmetic number, because the mean of its divisors is an integer number (1553194800).

Almost surely, 2203130222120 is an apocalyptic number.

203130222120 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 203130222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397617868800).

203130222120 is an abundant number, since it is smaller than the sum of its proper divisors (592105515480).

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

203130222120 is an equidigital number, since it uses as much as digits as its factorization.

203130222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5057 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 203130222120 its reverse (21222031302), we get a palindrome (224352253422).

The spelling of 203130222120 in words is "two hundred three billion, one hundred thirty million, two hundred twenty-two thousand, one hundred twenty".