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203683368681 = 3213194114391553
BaseRepresentation
bin1011110110110001111…
…0011000111011101001
3201110202001012012102200
42331230132120323221
511314120420244211
6233323145250413
720500315032132
oct2755436307351
9643661165380
10203683368681
1179421a51651
1233585193a09
131629046ba80
149c03372c89
155471a02b56
hex2f6c798ee9

203683368681 has 96 divisors (see below), whose sum is σ = 342108748800. Its totient is φ = 115695267840.

The previous prime is 203683368677. The next prime is 203683368689. The reversal of 203683368681 is 186863386302.

It is not a de Polignac number, because 203683368681 - 22 = 203683368677 is a prime.

It is a super-2 number, since 2×2036833686812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203683368689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131154001 + ... + 131155553.

It is an arithmetic number, because the mean of its divisors is an integer number (3563632800).

Almost surely, 2203683368681 is an apocalyptic number.

It is an amenable number.

203683368681 is a deficient number, since it is larger than the sum of its proper divisors (138425380119).

203683368681 is a wasteful number, since it uses less digits than its factorization.

203683368681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 203683368681 in words is "two hundred three billion, six hundred eighty-three million, three hundred sixty-eight thousand, six hundred eighty-one".

Divisors: 1 3 9 13 19 39 41 57 117 123 171 247 369 533 741 779 1439 1553 1599 2223 2337 4317 4659 4797 7011 10127 12951 13977 18707 20189 27341 29507 30381 56121 58999 60567 63673 82023 88521 91143 168363 176997 181701 191019 246069 265563 355433 383591 530991 573057 766987 827749 1066299 1120981 1150773 1209787 2234767 2300961 2483247 3198897 3362943 3452319 3629361 6704301 6902883 7449741 10088829 10888083 14572753 15727231 20112903 29051971 42460573 43718259 47181693 87155913 91625447 127381719 131154777 141545079 261467739 274876341 382145157 551987449 824629023 1191130811 1655962347 1740883493 3573392433 4967887041 5222650479 10720177299 15667951437 22631485409 67894456227 203683368681