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10403200441 = 312671125641
BaseRepresentation
bin10011011000001010…
…00011110110111001
3222212000110100011001
421230011003312321
5132301204403231
64440144405001
7515541513304
oct115405036671
928760410131
1010403200441
114459376517
122024016761
13c9a3ac70a
1470991bb3b
1540d4a4b61
hex26c143db9

10403200441 has 8 divisors (see below), whose sum is σ = 10742893568. Its totient is φ = 10063764000.

The previous prime is 10403200427. The next prime is 10403200469. The reversal of 10403200441 is 14400230401.

10403200441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10403200441 - 213 = 10403192249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10403200481) 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 7 ways as a sum of consecutive naturals, for example, 19981 + ... + 145621.

It is an arithmetic number, because the mean of its divisors is an integer number (1342861696).

Almost surely, 210403200441 is an apocalyptic number.

It is an amenable number.

10403200441 is a deficient number, since it is larger than the sum of its proper divisors (339693127).

10403200441 is a wasteful number, since it uses less digits than its factorization.

10403200441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128343.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10403200441 its reverse (14400230401), we get a palindrome (24803430842).

It can be divided in two parts, 10403200 and 441, that added together give a triangular number (10403641 = T4561).

The spelling of 10403200441 in words is "ten billion, four hundred three million, two hundred thousand, four hundred forty-one".

Divisors: 1 31 2671 82801 125641 3894871 335587111 10403200441