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10440010021 = 7337822631
BaseRepresentation
bin10011011100100010…
…11110100100100101
3222221120201110101211
421232101132210211
5132340120310041
64443541351421
7516466423000
oct115621364445
928846643354
1010440010021
114478128061
122034408571
13ca4bca02c
14710780537
15411826481
hex26e45e925

10440010021 has 16 divisors (see below), whose sum is σ = 12504006400. Its totient is φ = 8706715920.

The previous prime is 10440009977. The next prime is 10440010039. The reversal of 10440010021 is 12001004401.

10440010021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10440010021 - 211 = 10440007973 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10440009983 and 10440010010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440010421) 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 15 ways as a sum of consecutive naturals, for example, 398625 + ... + 424006.

It is an arithmetic number, because the mean of its divisors is an integer number (781500400).

Almost surely, 210440010021 is an apocalyptic number.

It is an amenable number.

10440010021 is a deficient number, since it is larger than the sum of its proper divisors (2063996379).

10440010021 is an frugal number, since it uses more digits than its factorization.

10440010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822689 (or 822675 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10440010021 its reverse (12001004401), we get a palindrome (22441014422).

The spelling of 10440010021 in words is "ten billion, four hundred forty million, ten thousand, twenty-one".

Divisors: 1 7 37 49 259 343 1813 12691 822631 5758417 30437347 40308919 213061429 282162433 1491430003 10440010021