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10303030200 = 233521773101137
BaseRepresentation
bin10011001100001101…
…11100001110111000
3222121000222011102010
421212012330032320
5132100033431300
64422205405520
7513214211631
oct114606741670
928530864363
1010303030200
1144078790a1
121bb65698a0
13c82709598
146da4c4888
154047b9a50
hex2661bc3b8

10303030200 has 384 divisors, whose sum is σ = 34873571520. Its totient is φ = 2506752000.

The previous prime is 10303030181. The next prime is 10303030201. The reversal of 10303030200 is 203030301.

It is a happy number.

10303030200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103030302002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303030201) 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 95 ways as a sum of consecutive naturals, for example, 75204532 + ... + 75204668.

Almost surely, 210303030200 is an apocalyptic number.

10303030200 is a gapful number since it is divisible by the number (10) 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 10303030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17436785760).

10303030200 is an abundant number, since it is smaller than the sum of its proper divisors (24570541320).

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

10303030200 is a wasteful number, since it uses less digits than its factorization.

10303030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10303030200 its reverse (203030301), we get a palindrome (10506060501).

The spelling of 10303030200 in words is "ten billion, three hundred three million, thirty thousand, two hundred".