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20412013331133 = 327393069014183
BaseRepresentation
bin1001010010000100010101…
…10011011100001010111101
32200021100222022020022212200
410221002022303130022331
510133412300403044013
6111225052141422113
74204501501401624
oct451021263341275
980240868208780
1020412013331133
11655a760426976
122357b99b6a939
13b50ac9773728
14507d37b0c6bb
15255e6b284e73
hex12908acdc2bd

20412013331133 has 12 divisors (see below), whose sum is σ = 29523916450080. Its totient is φ = 13589594797896.

The previous prime is 20412013331123. The next prime is 20412013331257. The reversal of 20412013331133 is 33113331021402.

20412013331133 is a `hidden beast` number, since 2 + 0 + 412 + 0 + 133 + 3 + 113 + 3 = 666.

It is not a de Polignac number, because 20412013331133 - 212 = 20412013327037 is a prime.

It is a super-3 number, since 3×204120133311333 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20412013331097 and 20412013331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412013331123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1534500441 + ... + 1534513742.

It is an arithmetic number, because the mean of its divisors is an integer number (2460326370840).

Almost surely, 220412013331133 is an apocalyptic number.

It is an amenable number.

20412013331133 is a deficient number, since it is larger than the sum of its proper divisors (9111903118947).

20412013331133 is a wasteful number, since it uses less digits than its factorization.

20412013331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069014928 (or 3069014925 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 20412013331133 its reverse (33113331021402), we get a palindrome (53525344352535).

The spelling of 20412013331133 in words is "twenty trillion, four hundred twelve billion, thirteen million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 739 2217 6651 3069014183 9207042549 27621127647 2268001481237 6804004443711 20412013331133