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203132021328 = 24324350964451
BaseRepresentation
bin1011110100101110011…
…1001010101001010000
3201102022121201212001100
42331023213022221100
511312003244140303
6233152332104400
720450541456345
oct2751347125120
9642277655040
10203132021328
1179169804185
1233450605100
1316203179232
149b900527cc
15543d3e58a3
hex2f4b9caa50

203132021328 has 120 divisors (see below), whose sum is σ = 582860060640. Its totient is φ = 66005049600.

The previous prime is 203132021249. The next prime is 203132021329. The reversal of 203132021328 is 823120231302.

It is a happy number.

203132021328 is a `hidden beast` number, since 2 + 0 + 313 + 2 + 0 + 21 + 328 = 666.

203132021328 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203132021329) 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 23 ways as a sum of consecutive naturals, for example, 3119503 + ... + 3183953.

It is an arithmetic number, because the mean of its divisors is an integer number (4857167172).

Almost surely, 2203132021328 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 203132021328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291430030320).

203132021328 is an abundant number, since it is smaller than the sum of its proper divisors (379728039312).

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

203132021328 is a wasteful number, since it uses less digits than its factorization.

203132021328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65017 (or 65008 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 203132021328 in words is "two hundred three billion, one hundred thirty-two million, twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 509 516 688 774 1018 1032 1527 1548 2036 2064 3054 3096 4072 4581 6108 6192 8144 9162 12216 18324 21887 24432 36648 43774 64451 65661 73296 87548 128902 131322 175096 193353 196983 257804 262644 350192 386706 393966 515608 525288 580059 773412 787932 1031216 1050576 1160118 1546824 1575864 2320236 2771393 3093648 3151728 4640472 5542786 8314179 9280944 11085572 16628358 22171144 24942537 32805559 33256716 44342288 49885074 65611118 66513432 98416677 99770148 131222236 133026864 196833354 199540296 262444472 295250031 393666708 399080592 524888944 590500062 787333416 1181000124 1410639037 1574666832 2362000248 2821278074 4231917111 4724000496 5642556148 8463834222 11285112296 12695751333 16927668444 22570224592 25391502666 33855336888 50783005332 67710673776 101566010664 203132021328