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10430233000 = 2353118871069
BaseRepresentation
bin10011011011011000…
…01011100110101000
3222220220022201211221
421231230023212220
5132330114424000
64442552031424
7516320342365
oct115554134650
928826281757
1010430233000
11447265a480
122031092574
13ca2b85b05
1470d35746c
15410a4461a
hex26db0b9a8

10430233000 has 128 divisors (see below), whose sum is σ = 26680492800. Its totient is φ = 3784992000.

The previous prime is 10430232971. The next prime is 10430233031. The reversal of 10430233000 is 33203401.

10430233000 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 31 ways as a sum of consecutive naturals, for example, 9756466 + ... + 9757534.

It is an arithmetic number, because the mean of its divisors is an integer number (208441350).

Almost surely, 210430233000 is an apocalyptic number.

10430233000 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 10430233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13340246400).

10430233000 is an abundant number, since it is smaller than the sum of its proper divisors (16250259800).

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

10430233000 is a wasteful number, since it uses less digits than its factorization.

10430233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10430233000 its reverse (33203401), we get a palindrome (10463436401).

The spelling of 10430233000 in words is "ten billion, four hundred thirty million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 887 1000 1069 1100 1375 1774 2138 2200 2750 3548 4276 4435 5345 5500 7096 8552 8870 9757 10690 11000 11759 17740 19514 21380 22175 23518 26725 35480 39028 42760 44350 47036 48785 53450 58795 78056 88700 94072 97570 106900 110875 117590 133625 177400 195140 213800 221750 235180 243925 267250 293975 390280 443500 470360 487850 534500 587950 887000 948203 975700 1069000 1175900 1219625 1469875 1896406 1951400 2351800 2439250 2939750 3792812 4741015 4878500 5879500 7585624 9482030 9757000 10430233 11759000 18964060 20860466 23705075 37928120 41720932 47410150 52151165 83441864 94820300 104302330 118525375 189640600 208604660 237050750 260755825 417209320 474101500 521511650 948203000 1043023300 1303779125 2086046600 2607558250 5215116500 10430233000