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10041351320 = 235711132101191
BaseRepresentation
bin10010101101000001…
…01101110010011000
3221220210120111110202
421112200231302120
5131031041220240
64340221001332
7503556035510
oct112640556230
927823514422
1010041351320
114293098960
121b429b3248
13c40438100
146b3848840
153db82a315
hex25682dc98

10041351320 has 384 divisors, whose sum is σ = 30964654080. Its totient is φ = 2845440000.

The previous prime is 10041351317. The next prime is 10041351377. The reversal of 10041351320 is 2315314001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10041351292 and 10041351301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52572425 + ... + 52572615.

It is an arithmetic number, because the mean of its divisors is an integer number (80637120).

Almost surely, 210041351320 is an apocalyptic number.

10041351320 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 10041351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482327040).

10041351320 is an abundant number, since it is smaller than the sum of its proper divisors (20923302760).

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

10041351320 is a wasteful number, since it uses less digits than its factorization.

10041351320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10041351320 its reverse (2315314001), we get a palindrome (12356665321).

The spelling of 10041351320 in words is "ten billion, forty-one million, three hundred fifty-one thousand, three hundred twenty".