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100031322320 = 2455323592293
BaseRepresentation
bin101110100101001010…
…1001101100011010000
3100120012100120200101122
41131022111031203100
53114331004303240
6113542002221412
710140604132136
oct1351225154320
9316170520348
10100031322320
113947208a016
1217478354868
139582158567
144bad295756
152906d754b5
hex174a54d8d0

100031322320 has 40 divisors (see below), whose sum is σ = 236961000936. Its totient is φ = 39257573888.

The previous prime is 100031322317. The next prime is 100031322353. The reversal of 100031322320 is 23223130001.

It can be written as a sum of positive squares in 4 ways, for example, as 12685066384 + 87346255936 = 112628^2 + 295544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11791907 + ... + 11800386.

Almost surely, 2100031322320 is an apocalyptic number.

100031322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100031322320 is an abundant number, since it is smaller than the sum of its proper divisors (136929678616).

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

100031322320 is a wasteful number, since it uses less digits than its factorization.

100031322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23592359 (or 23592353 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100031322320 its reverse (23223130001), we get a palindrome (123254452321).

The spelling of 100031322320 in words is "one hundred billion, thirty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 23592293 47184586 94369172 117961465 188738344 235922930 377476688 471845860 943691720 1250391529 1887383440 2500783058 5001566116 6251957645 10003132232 12503915290 20006264464 25007830580 50015661160 100031322320