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10441272120 = 2335491177211
BaseRepresentation
bin10011011100101100…
…10010101100111000
3222221200002120200020
421232112102230320
5132340431201440
64444024410440
7516513230406
oct115626225470
928850076606
1010441272120
11447890a314
122034916a20
13ca524c636
147109cc476
154119c53d0
hex26e592b38

10441272120 has 64 divisors (see below), whose sum is σ = 31387789440. Its totient is φ = 2778652800.

The previous prime is 10441272089. The next prime is 10441272173. The reversal of 10441272120 is 2127214401.

10441272120 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 (24).

It is a congruent number.

It is an unprimeable number.

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, 29686 + ... + 147525.

It is an arithmetic number, because the mean of its divisors is an integer number (490434210).

Almost surely, 210441272120 is an apocalyptic number.

10441272120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10441272120 is an abundant number, since it is smaller than the sum of its proper divisors (20946517320).

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

10441272120 is a wasteful number, since it uses less digits than its factorization.

10441272120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177716 (or 177712 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

Adding to 10441272120 its reverse (2127214401), we get a palindrome (12568486521).

The spelling of 10441272120 in words is "ten billion, four hundred forty-one million, two hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 491 982 1473 1964 2455 2946 3928 4910 5892 7365 9820 11784 14730 19640 29460 58920 177211 354422 531633 708844 886055 1063266 1417688 1772110 2126532 2658165 3544220 4253064 5316330 7088440 10632660 21265320 87010601 174021202 261031803 348042404 435053005 522063606 696084808 870106010 1044127212 1305159015 1740212020 2088254424 2610318030 3480424040 5220636060 10441272120