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100320433320 = 23351789683809
BaseRepresentation
bin101110101101110010…
…0000101010010101000
3100120221111121001010110
41131123210011102220
53120424012331240
6114030411014320
710151014420302
oct1353344052250
9316844531113
10100320433320
11396002a6428
121753913a3a0
1395ca012c63
144bd9832972
152922432c80
hex175b9054a8

100320433320 has 256 divisors, whose sum is σ = 323116128000. Its totient is φ = 24828379136.

The previous prime is 100320433289. The next prime is 100320433327. The reversal of 100320433320 is 23334023001.

It is not an unprimeable number, because it can be changed into a prime (100320433327) 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 63 ways as a sum of consecutive naturals, for example, 124005076 + ... + 124005884.

It is an arithmetic number, because the mean of its divisors is an integer number (1262172375).

Almost surely, 2100320433320 is an apocalyptic number.

100320433320 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 100320433320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161558064000).

100320433320 is an abundant number, since it is smaller than the sum of its proper divisors (222795694680).

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

100320433320 is a wasteful number, since it uses less digits than its factorization.

100320433320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 100320433320 its reverse (23334023001), we get a palindrome (123654456321).

The spelling of 100320433320 in words is "one hundred billion, three hundred twenty million, four hundred thirty-three thousand, three hundred twenty".