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203033322112 = 27231012392857
BaseRepresentation
bin1011110100010110111…
…0101010001010000000
3201102001202000102011211
42331011232222022000
511311303012301422
6233134444415504
720445232522465
oct2750556521200
9642052012154
10203033322112
1179119020a85
1233423547594
13161b889c82a
149b80cbd66c
1554348eb577
hex2f45baa280

203033322112 has 128 divisors (see below), whose sum is σ = 428178700800. Its totient is φ = 95705702400.

The previous prime is 203033322109. The next prime is 203033322113. The reversal of 203033322112 is 211223330302.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (203033322113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71063788 + ... + 71066644.

It is an arithmetic number, because the mean of its divisors is an integer number (3345146100).

Almost surely, 2203033322112 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 203033322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214089350400).

203033322112 is an abundant number, since it is smaller than the sum of its proper divisors (225145378688).

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

203033322112 is a wasteful number, since it uses less digits than its factorization.

203033322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 203033322112 its reverse (211223330302), we get a palindrome (414256652414).

The spelling of 203033322112 in words is "two hundred three billion, thirty-three million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 46 64 92 101 128 184 202 239 368 404 478 736 808 956 1472 1616 1912 2323 2857 2944 3232 3824 4646 5497 5714 6464 7648 9292 10994 11428 12928 15296 18584 21988 22856 24139 30592 37168 43976 45712 48278 65711 74336 87952 91424 96556 131422 148672 175904 182848 193112 262844 288557 297344 351808 365696 386224 525688 555197 577114 682823 703616 772448 1051376 1110394 1154228 1365646 1544896 2102752 2220788 2308456 2731292 3089792 4205504 4441576 4616912 5462584 6636811 8411008 8883152 9233824 10925168 13273622 15704929 17766304 18467648 21850336 26547244 31409858 35532608 36935296 43700672 53094488 62819716 68965123 71065216 87401344 106188976 125639432 137930246 212377952 251278864 275860492 424755904 502557728 551720984 849511808 1005115456 1103441968 1586197829 2010230912 2206883936 3172395658 4413767872 6344791316 8827535744 12689582632 25379165264 50758330528 101516661056 203033322112