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10203230304 = 2532233383397
BaseRepresentation
bin10011000000010100…
…01111000001100000
3222100002011210200200
421200022033001200
5131344011332204
64404242345200
7510563012061
oct114012170140
928302153620
1010203230304
114366503a43
121b8905b200
13c67b35ba7
146cb146568
153eab54539
hex26028f060

10203230304 has 144 divisors (see below), whose sum is σ = 29289641472. Its totient is φ = 3369129984.

The previous prime is 10203230281. The next prime is 10203230309. The reversal of 10203230304 is 40303230201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10203230309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25700634 + ... + 25701030.

It is an arithmetic number, because the mean of its divisors is an integer number (203400288).

Almost surely, 210203230304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203230304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14644820736).

10203230304 is an abundant number, since it is smaller than the sum of its proper divisors (19086411168).

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

10203230304 is a wasteful number, since it uses less digits than its factorization.

10203230304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10203230304 its reverse (40303230201), we get a palindrome (50506460505).

The spelling of 10203230304 in words is "ten billion, two hundred three million, two hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 233 288 383 397 466 699 766 794 932 1149 1191 1398 1532 1588 1864 2097 2298 2382 2796 3064 3176 3447 3573 3728 4194 4596 4764 5592 6128 6352 6894 7146 7456 8388 9192 9528 11184 12256 12704 13788 14292 16776 18384 19056 22368 27576 28584 33552 36768 38112 55152 57168 67104 89239 92501 110304 114336 152051 178478 185002 267717 277503 304102 356956 370004 456153 535434 555006 608204 713912 740008 803151 832509 912306 1070868 1110012 1216408 1368459 1427824 1480016 1606302 1665018 1824612 2141736 2220024 2432816 2736918 2855648 2960032 3212604 3330036 3649224 4283472 4440048 4865632 5473836 6425208 6660072 7298448 8566944 8880096 10947672 12850416 13320144 14596896 21895344 25700832 26640288 35427883 43790688 70855766 106283649 141711532 212567298 283423064 318850947 425134596 566846128 637701894 850269192 1133692256 1275403788 1700538384 2550807576 3401076768 5101615152 10203230304