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20133333333333 = 32112192414037543
BaseRepresentation
bin1001001001111101010000…
…01011100111010101010101
32122021201122121122121222200
410210332220023213111111
510114331031313131313
6110453043050115113
74145404524452133
oct444765013472525
978251577577880
1020133333333333
116462553878900
122311b8471ba99
13b3074693bb4c
144d865c2dc753
1524daaa683b73
hex124fa82e7555

20133333333333 has 72 divisors (see below), whose sum is σ = 33787621707840. Its totient is φ = 11511839750400.

The previous prime is 20133333333331. The next prime is 20133333333359. The reversal of 20133333333333 is 33333333333102.

20133333333333 is a `hidden beast` number, since 201 + 33 + 33 + 33 + 33 + 333 = 666.

It is not a de Polignac number, because 20133333333333 - 21 = 20133333333331 is a prime.

It is a super-2 number, since 2×201333333333332 (a number of 27 digits) contains 22 as substring.

20133333333333 is a modest number, since divided by 3333333 gives 2013333 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133333333331) 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 71 ways as a sum of consecutive naturals, for example, 2967760 + ... + 7005302.

It is an arithmetic number, because the mean of its divisors is an integer number (469272523720).

Almost surely, 220133333333333 is an apocalyptic number.

It is an amenable number.

20133333333333 is a deficient number, since it is larger than the sum of its proper divisors (13654288374507).

20133333333333 is a wasteful number, since it uses less digits than its factorization.

20133333333333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4037831 (or 4037817 counting only the distinct ones).

The product of its (nonzero) digits is 354294, while the sum is 36.

Adding to 20133333333333 its reverse (33333333333102), we get a palindrome (53466666666435).

The spelling of 20133333333333 in words is "twenty trillion, one hundred thirty-three billion, three hundred thirty-three million, three hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 241 363 627 723 1089 1881 2169 2299 2651 4579 6897 7953 13737 20691 23859 29161 41211 50369 87483 151107 262449 453321 554059 1662177 4037543 4986531 12112629 36337887 44412973 76713317 133238919 230139951 399716757 488542703 690419853 843846487 973047863 1465628109 2531539461 2919143589 4396884327 7594618383 8757430767 9282311357 10703526493 18487909397 27846934071 32110579479 55463728191 83540802213 96331738437 117738791423 166391184573 203367003367 353216374269 610101010101 1059649122807 1830303030303 2237037037037 6711111111111 20133333333333