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203332130001 = 327111337609997
BaseRepresentation
bin1011110101011110001…
…0100001010011010001
3201102211120021102112200
42331113202201103101
511312411011130001
6233224241113413
720455521405510
oct2752742412321
9642746242480
10203332130001
1179261760850
12334a7628869
1316235770b30
149bac862677
155450c72086
hex2f578a14d1

203332130001 has 96 divisors (see below), whose sum is σ = 404999632128. Its totient is φ = 94866577920.

The previous prime is 203332129967. The next prime is 203332130003. The reversal of 203332130001 is 100031233302.

203332130001 is a `hidden beast` number, since 203 + 332 + 130 + 0 + 0 + 1 = 666.

203332130001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 203332130001 - 213 = 203332121809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (203332130003) 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 95 ways as a sum of consecutive naturals, for example, 28335 + ... + 638331.

It is an arithmetic number, because the mean of its divisors is an integer number (4218746168).

Almost surely, 2203332130001 is an apocalyptic number.

203332130001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

203332130001 is a deficient number, since it is larger than the sum of its proper divisors (201667502127).

203332130001 is a wasteful number, since it uses less digits than its factorization.

203332130001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610071 (or 610068 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 203332130001 its reverse (100031233302), we get a palindrome (303363363303).

It can be divided in two parts, 203332 and 130001, that added together give a palindrome (333333).

The spelling of 203332130001 in words is "two hundred three billion, three hundred thirty-two million, one hundred thirty thousand, one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 37037 47619 111111 333333 609997 1829991 4269979 5489973 6709967 7929961 12809937 20129901 22569889 23789883 38429811 46969769 55509727 60389703 67709667 71369649 87229571 140909307 157989223 166529181 203129001 248268779 261688713 293408557 422727921 473967669 499587543 610606997 744806337 785066139 880225671 1421903007 1737881453 1831820991 2053859899 2234419011 2640677013 3227494127 5213644359 5495462973 6161579697 9682482381 15640933077 18484739091 22592458889 29047447143 67777376667 203332130001