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10442311000 = 2353112693529
BaseRepresentation
bin10011011100110100…
…10000010101011000
3222221202001100202021
421232122100111120
5132341212423000
64444102544224
7516525115252
oct115632202530
928852040667
1010442311000
1144794598a0
122035138074
13ca5524464
14710bbccd2
15411b2d11a
hex26e690558

10442311000 has 128 divisors (see below), whose sum is σ = 26763048000. Its totient is φ = 3782016000.

The previous prime is 10442310997. The next prime is 10442311001. The reversal of 10442311000 is 11324401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442311001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2957236 + ... + 2960764.

Almost surely, 210442311000 is an apocalyptic number.

10442311000 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 10442311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13381524000).

10442311000 is an abundant number, since it is smaller than the sum of its proper divisors (16320737000).

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

10442311000 is a wasteful number, since it uses less digits than its factorization.

10442311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10442311000 its reverse (11324401), we get a palindrome (10453635401).

The spelling of 10442311000 in words is "ten billion, four hundred forty-two million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 269 275 440 500 538 550 1000 1076 1100 1345 1375 2152 2200 2690 2750 2959 3529 5380 5500 5918 6725 7058 10760 11000 11836 13450 14116 14795 17645 23672 26900 28232 29590 33625 35290 38819 53800 59180 67250 70580 73975 77638 88225 118360 134500 141160 147950 155276 176450 194095 269000 295900 310552 352900 369875 388190 441125 591800 705800 739750 776380 882250 949301 970475 1479500 1552760 1764500 1898602 1940950 2959000 3529000 3797204 3881900 4746505 4852375 7594408 7763800 9493010 9704750 10442311 18986020 19409500 20884622 23732525 37972040 38819000 41769244 47465050 52211555 83538488 94930100 104423110 118662625 189860200 208846220 237325250 261057775 417692440 474650500 522115550 949301000 1044231100 1305288875 2088462200 2610577750 5221155500 10442311000