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10103443040 = 2551941103787
BaseRepresentation
bin10010110100011011…
…00100111001100000
3222002010102002022002
421122031210321200
5131142440134130
64350315503132
7505241564105
oct113215447140
928063362262
1010103443040
114315148329
121b5b757aa8
13c50268182
146bbbacaac
153e1ee2b45
hex25a364e60

10103443040 has 192 divisors, whose sum is σ = 26021399040. Its totient is φ = 3694325760.

The previous prime is 10103443039. The next prime is 10103443067. The reversal of 10103443040 is 4034430101.

It is a happy number.

It is a super-2 number, since 2×101034430402 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12837527 + ... + 12838313.

It is an arithmetic number, because the mean of its divisors is an integer number (135528120).

Almost surely, 210103443040 is an apocalyptic number.

10103443040 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 10103443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13010699520).

10103443040 is an abundant number, since it is smaller than the sum of its proper divisors (15917956000).

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

10103443040 is a wasteful number, since it uses less digits than its factorization.

10103443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10103443040 its reverse (4034430101), we get a palindrome (14137873141).

The spelling of 10103443040 in words is "ten billion, one hundred three million, four hundred forty-three thousand, forty".