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203123041000 = 23531157732003
BaseRepresentation
bin1011110100101100010…
…0111010001011101000
3201102021222211121100121
42331023010322023220
511311443444303000
6233151411413024
720450402234545
oct2751304721350
9642258747317
10203123041000
1179164730120
12334495b4174
1316201353829
149b8cb95bcc
15543c71eb1a
hex2f4b13a2e8

203123041000 has 128 divisors (see below), whose sum is σ = 519432600960. Its totient is φ = 73732608000.

The previous prime is 203123040983. The next prime is 203123041063. The reversal of 203123041000 is 140321302.

It is a happy number.

203123041000 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6330999 + ... + 6363001.

It is an arithmetic number, because the mean of its divisors is an integer number (4058067195).

Almost surely, 2203123041000 is an apocalyptic number.

203123041000 is a gapful number since it is divisible by the number (20) 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 203123041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259716300480).

203123041000 is an abundant number, since it is smaller than the sum of its proper divisors (316309559960).

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

203123041000 is a wasteful number, since it uses less digits than its factorization.

203123041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32612 (or 32598 counting only the distinct ones).

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

Adding to 203123041000 its reverse (140321302), we get a palindrome (203263362302).

The spelling of 203123041000 in words is "two hundred three billion, one hundred twenty-three million, forty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 577 1000 1100 1154 1375 2200 2308 2750 2885 4616 5500 5770 6347 11000 11540 12694 14425 23080 25388 28850 31735 32003 50776 57700 63470 64006 72125 115400 126940 128012 144250 158675 160015 253880 256024 288500 317350 320030 352033 577000 634700 640060 704066 793375 800075 1269400 1280120 1408132 1586750 1600150 1760165 2816264 3173500 3200300 3520330 4000375 6347000 6400600 7040660 8000750 8800825 14081320 16001500 17601650 18465731 32003000 35203300 36931462 44004125 70406600 73862924 88008250 92328655 147725848 176016500 184657310 203123041 352033000 369314620 406246082 461643275 738629240 812492164 923286550 1015615205 1624984328 1846573100 2031230410 2308216375 3693146200 4062460820 4616432750 5078076025 8124921640 9232865500 10156152050 18465731000 20312304100 25390380125 40624608200 50780760250 101561520500 203123041000