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100220000320 = 26511292633733
BaseRepresentation
bin101110101010110010…
…0111101100001000000
3100120200111121111221201
41131111210331201000
53120222310002240
6114012422230544
710145354642566
oct1352544754100
9316614544851
10100220000320
1139559639650
121750b585454
1395b227a34b
144bca36ba36
1529186e4d9a
hex175593d840

100220000320 has 224 divisors, whose sum is σ = 270418072320. Its totient is φ = 35043778560.

The previous prime is 100220000311. The next prime is 100220000339. The reversal of 100220000320 is 23000022001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100220000297 and 100220000306.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26845174 + ... + 26848906.

Almost surely, 2100220000320 is an apocalyptic number.

100220000320 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 100220000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135209036160).

100220000320 is an abundant number, since it is smaller than the sum of its proper divisors (170198072000).

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

100220000320 is a wasteful number, since it uses less digits than its factorization.

100220000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 100220000320 its reverse (23000022001), we get a palindrome (123220022321).

The spelling of 100220000320 in words is "one hundred billion, two hundred twenty million, three hundred twenty", and thus it is an aban number.