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100030032300 = 2235211532392393
BaseRepresentation
bin101110100101001000…
…0010010100110101100
3100120012021011010211010
41131022100102212230
53114330142013200
6113541514425220
710140560150142
oct1351220224654
9316167133733
10100030032300
1139471388890
1217477a32210
139581ac6333
144bad03b592
152906bbd150
hex174a4129ac

100030032300 has 288 divisors, whose sum is σ = 323169315840. Its totient is φ = 23682713600.

The previous prime is 100030032281. The next prime is 100030032331. The reversal of 100030032300 is 3230030001.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41799904 + ... + 41802296.

It is an arithmetic number, because the mean of its divisors is an integer number (1122115680).

Almost surely, 2100030032300 is an apocalyptic number.

100030032300 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 100030032300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161584657920).

100030032300 is an abundant number, since it is smaller than the sum of its proper divisors (223139283540).

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

100030032300 is a wasteful number, since it uses less digits than its factorization.

100030032300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2706 counting only the distinct ones).

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

Adding to 100030032300 its reverse (3230030001), we get a palindrome (103260062301).

The spelling of 100030032300 in words is "one hundred billion, thirty million, thirty-two thousand, three hundred".