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100030132200 = 233521915755889
BaseRepresentation
bin101110100101001000…
…0101010111111101000
3100120012021100012212010
41131022100222333220
53114330203212300
6113541520515520
710140561044325
oct1351220527750
9316167305763
10100030132200
1139471446949
1217477a7bba0
139581b2c94b
144bad065b4c
152906bdca50
hex174a42afe8

100030132200 has 192 divisors, whose sum is σ = 328499064000. Its totient is φ = 25109360640.

The previous prime is 100030132199. The next prime is 100030132207. The reversal of 100030132200 is 2231030001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (100030132207) 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 47 ways as a sum of consecutive naturals, for example, 1761856 + ... + 1817744.

It is an arithmetic number, because the mean of its divisors is an integer number (1710932625).

Almost surely, 2100030132200 is an apocalyptic number.

100030132200 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 100030132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164249532000).

100030132200 is an abundant number, since it is smaller than the sum of its proper divisors (228468931800).

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

100030132200 is a wasteful number, since it uses less digits than its factorization.

100030132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56084 (or 56075 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100030132200 its reverse (2231030001), we get a palindrome (102261162201).

The spelling of 100030132200 in words is "one hundred billion, thirty million, one hundred thirty-two thousand, two hundred".