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203011331000 = 23531715237841
BaseRepresentation
bin1011110100010001101…
…0110001001110111000
3201102000012122011001012
42331010122301032320
511311231400043000
6233132341213052
720444544561452
oct2750432611670
9642005564035
10203011331000
1179107670805
1233418101188
13161b417003a
149b7bdd72d2
155432a05735
hex2f446b13b8

203011331000 has 128 divisors (see below), whose sum is σ = 503384880960. Its totient is φ = 76367872000.

The previous prime is 203011330997. The next prime is 203011331009. The reversal of 203011331000 is 133110302.

203011331000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2030113310003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203011331009) by changing a digit.

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, 25887080 + ... + 25894920.

Almost surely, 2203011331000 is an apocalyptic number.

203011331000 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 203011331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251692440480).

203011331000 is an abundant number, since it is smaller than the sum of its proper divisors (300373549960).

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

203011331000 is a wasteful number, since it uses less digits than its factorization.

203011331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9402 (or 9388 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 203011331000 its reverse (133110302), we get a palindrome (203144441302).

The spelling of 203011331000 in words is "two hundred three billion, eleven million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1523 1700 2125 3046 3400 4250 6092 7615 7841 8500 12184 15230 15682 17000 25891 30460 31364 38075 39205 51782 60920 62728 76150 78410 103564 129455 133297 152300 156820 190375 196025 207128 258910 266594 304600 313640 380750 392050 517820 533188 647275 666485 761500 784100 980125 1035640 1066376 1294550 1332970 1523000 1568200 1960250 2589100 2665940 3236375 3332425 3920500 5178200 5331880 6472750 6664850 7841000 11941843 12945500 13329700 16662125 23883686 25891000 26659400 33324250 47767372 59709215 66648500 95534744 119418430 133297000 203011331 238836860 298546075 406022662 477673720 597092150 812045324 1015056655 1194184300 1492730375 1624090648 2030113310 2388368600 2985460750 4060226620 5075283275 5970921500 8120453240 10150566550 11941843000 20301133100 25376416375 40602266200 50752832750 101505665500 203011331000