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101203301320 = 23511237593953
BaseRepresentation
bin101111001000000101…
…1111101001111001000
3100200020000212101100021
41132100023331033020
53124231021120240
6114254145550224
710211624603422
oct1362013751710
9320200771307
10101203301320
1139a13697200
1217744945374
13970abbb764
144c80bad812
152974bc854a
hex17902fd3c8

101203301320 has 192 divisors, whose sum is σ = 257758245360. Its totient is φ = 35708682240.

The previous prime is 101203301299. The next prime is 101203301359. The reversal of 101203301320 is 23103302101.

It can be written as a sum of positive squares in 8 ways, for example, as 67723816644 + 33479484676 = 260238^2 + 182974^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101203301294 and 101203301303.

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, 106193964 + ... + 106194916.

Almost surely, 2101203301320 is an apocalyptic number.

101203301320 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 101203301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128879122680).

101203301320 is an abundant number, since it is smaller than the sum of its proper divisors (156554944040).

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

101203301320 is a wasteful number, since it uses less digits than its factorization.

101203301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 101203301320 its reverse (23103302101), we get a palindrome (124306603421).

The spelling of 101203301320 in words is "one hundred one billion, two hundred three million, three hundred one thousand, three hundred twenty".