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203022213300 = 2232524116373361
BaseRepresentation
bin1011110100010100010…
…0010010000010110100
3201102000222010000202100
42331011010102002310
511311242141311200
6233133410342100
720445036224334
oct2750504220264
9642028100670
10203022213300
1179112823845
123341b88a930
13161b64b037a
149b7d62b0c4
155433954d00
hex2f451120b4

203022213300 has 216 divisors, whose sum is σ = 652475160792. Its totient is φ = 52770816000.

The previous prime is 203022213221. The next prime is 203022213349. The reversal of 203022213300 is 3312220302.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 142059640464 + 60962572836 = 376908^2 + 246906^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60403620 + ... + 60406980.

It is an arithmetic number, because the mean of its divisors is an integer number (3020718337).

Almost surely, 2203022213300 is an apocalyptic number.

203022213300 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 203022213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326237580396).

203022213300 is an abundant number, since it is smaller than the sum of its proper divisors (449452947492).

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

203022213300 is a wasteful number, since it uses less digits than its factorization.

203022213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5059 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 203022213300 its reverse (3312220302), we get a palindrome (206334433602).

The spelling of 203022213300 in words is "two hundred three billion, twenty-two million, two hundred thirteen thousand, three hundred".