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21131033313033 = 3272127377292719
BaseRepresentation
bin1001100110111111100111…
…01110111111111100001001
32202211002220001011220202200
410303133303232333330021
510232202324012004113
6112535243535150413
74310444463403500
oct463376356777411
982732801156680
1021131033313033
116807691469476
122453404375409
13ba3856556217
14530a670ad837
15269a00022873
hex1337f3bbff09

21131033313033 has 36 divisors (see below), whose sum is σ = 35785459906560. Its totient is φ = 11979798381936.

The previous prime is 21131033313029. The next prime is 21131033313073. The reversal of 21131033313033 is 33031333013112.

21131033313033 is a `hidden beast` number, since 2 + 1 + 1 + 310 + 3 + 3 + 313 + 0 + 33 = 666.

It is not a de Polignac number, because 21131033313033 - 22 = 21131033313029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21131033312988 and 21131033313006.

It is not an unprimeable number, because it can be changed into a prime (21131033313073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188590353 + ... + 188702366.

It is an arithmetic number, because the mean of its divisors is an integer number (994040552960).

Almost surely, 221131033313033 is an apocalyptic number.

It is an amenable number.

21131033313033 is a deficient number, since it is larger than the sum of its proper divisors (14654426593527).

21131033313033 is a wasteful number, since it uses less digits than its factorization.

21131033313033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377292866 (or 377292856 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 21131033313033 its reverse (33031333013112), we get a palindrome (54162366326145).

The spelling of 21131033313033 in words is "twenty-one trillion, one hundred thirty-one billion, thirty-three million, three hundred thirteen thousand, thirty-three".

Divisors: 1 3 7 9 21 49 63 127 147 381 441 889 1143 2667 6223 8001 18669 56007 377292719 1131878157 2641049033 3395634471 7923147099 18487343231 23769441297 47916175313 55462029693 143748525939 166386089079 335413227191 431245577817 1006239681573 2347892590337 3018719044719 7043677771011 21131033313033