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201303011200 = 2752173700423
BaseRepresentation
bin1011101101111010011…
…0000010111110000000
3201020121011010111211111
42323132212002332000
511244232032324300
6232251034053104
720354322235324
oct2733646027600
9636534114744
10201303011200
1178410335865
123301bb7a194
1315ca126c915
149a59187984
155382a5b9ba
hex2ede982f80

201303011200 has 96 divisors (see below), whose sum is σ = 526533330960. Its totient is φ = 75784642560.

The previous prime is 201303011111. The next prime is 201303011249. The reversal of 201303011200 is 2110303102.

201303011200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1795812 + ... + 1904611.

Almost surely, 2201303011200 is an apocalyptic number.

201303011200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201303011200 is an abundant number, since it is smaller than the sum of its proper divisors (325230319760).

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

201303011200 is a wasteful number, since it uses less digits than its factorization.

201303011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700464 (or 3700447 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 201303011200 its reverse (2110303102), we get a palindrome (203413314302).

The spelling of 201303011200 in words is "two hundred one billion, three hundred three million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 272 320 340 400 425 544 640 680 800 850 1088 1360 1600 1700 2176 2720 3200 3400 5440 6800 10880 13600 27200 54400 3700423 7400846 14801692 18502115 29603384 37004230 59206768 62907191 74008460 92510575 118413536 125814382 148016920 185021150 236827072 251628764 296033840 314535955 370042300 473654144 503257528 592067680 629071910 740084600 1006515056 1184135360 1258143820 1480169200 1572679775 2013030112 2368270720 2516287640 2960338400 3145359550 4026060224 5032575280 5920676800 6290719100 8052120448 10065150560 11841353600 12581438200 20130301120 25162876400 40260602240 50325752800 100651505600 201303011200