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10001313120 = 253537601937
BaseRepresentation
bin10010101000001111…
…11110110101100000
3221211000020100101110
421110013332311200
5130440314004440
64332230503320
7502561521201
oct112407766540
927730210343
1010001313120
114272531637
121b31504b40
13c3505a076
146ac3c55a8
153d806c080
hex2541fed60

10001313120 has 192 divisors, whose sum is σ = 32444024256. Its totient is φ = 2587852800.

The previous prime is 10001313109. The next prime is 10001313121. The reversal of 10001313120 is 2131310001.

10001313120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10001313096 and 10001313105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001313121) 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 31 ways as a sum of consecutive naturals, for example, 10673292 + ... + 10674228.

It is an arithmetic number, because the mean of its divisors is an integer number (168979293).

Almost surely, 210001313120 is an apocalyptic number.

10001313120 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 10001313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16222012128).

10001313120 is an abundant number, since it is smaller than the sum of its proper divisors (22442711136).

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

10001313120 is a wasteful number, since it uses less digits than its factorization.

10001313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10001313120 its reverse (2131310001), we get a palindrome (12132623121).

The spelling of 10001313120 in words is "ten billion, one million, three hundred thirteen thousand, one hundred twenty".