Search a number
-
+
100303032200 = 23527233798219
BaseRepresentation
bin101110101101010000…
…1101100111110001000
3100120220021211222021112
41131122201230332020
53120410034012300
6114024550025452
710150413464210
oct1353241547610
9316807758245
10100303032200
11395a14a0738
1217533348288
1395c652c737
144bd73c3240
152920b46e35
hex175a86cf88

100303032200 has 192 divisors, whose sum is σ = 278875008000. Its totient is φ = 32803626240.

The previous prime is 100303032199. The next prime is 100303032227. The reversal of 100303032200 is 2230303001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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, 12199691 + ... + 12207909.

It is an arithmetic number, because the mean of its divisors is an integer number (1452474000).

Almost surely, 2100303032200 is an apocalyptic number.

100303032200 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 100303032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139437504000).

100303032200 is an abundant number, since it is smaller than the sum of its proper divisors (178571975800).

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

100303032200 is a wasteful number, since it uses less digits than its factorization.

100303032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8644 (or 8635 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 100303032200 its reverse (2230303001), we get a palindrome (102533335201).

The spelling of 100303032200 in words is "one hundred billion, three hundred three million, thirty-two thousand, two hundred".