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10433221000 = 235390711503
BaseRepresentation
bin10011011011101111…
…00101000110001000
3222221002221112121121
421231313211012020
5132331401033000
64443140045024
7516354625636
oct115567450610
928832845547
1010433221000
1144743103a4
122032093774
13ca3690b67
1470d8d4356
15410e34b1a
hex26dde5188

10433221000 has 64 divisors (see below), whose sum is σ = 24442778880. Its totient is φ = 4168324800.

The previous prime is 10433220991. The next prime is 10433221013. The reversal of 10433221000 is 12233401.

It is a happy number.

10433221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 901249 + ... + 912751.

It is an arithmetic number, because the mean of its divisors is an integer number (381918420).

Almost surely, 210433221000 is an apocalyptic number.

10433221000 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 10433221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221389440).

10433221000 is an abundant number, since it is smaller than the sum of its proper divisors (14009557880).

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

10433221000 is a wasteful number, since it uses less digits than its factorization.

10433221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12431 (or 12417 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10433221000 its reverse (12233401), we get a palindrome (10445454401).

The spelling of 10433221000 in words is "ten billion, four hundred thirty-three million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 907 1000 1814 3628 4535 7256 9070 11503 18140 22675 23006 36280 45350 46012 57515 90700 92024 113375 115030 181400 226750 230060 287575 453500 460120 575150 907000 1150300 1437875 2300600 2875750 5751500 10433221 11503000 20866442 41732884 52166105 83465768 104332210 208664420 260830525 417328840 521661050 1043322100 1304152625 2086644200 2608305250 5216610500 10433221000