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33031104214131 = 351751907154043
BaseRepresentation
bin1111000001010101001110…
…01110111011010001110011
311022221202001110000211100000
413200222213032323101303
513312140200134323011
6154130140234001043
76646263361166322
oct740524716732163
9138852043024300
1033031104214131
11a58545a234221
123855795b76183
131557a8702c08a
148229dd2060b9
153c4335061356
hex1e0aa73bb473

33031104214131 has 48 divisors (see below), whose sum is σ = 52390551717504. Its totient is φ = 20724864902784.

The previous prime is 33031104214051. The next prime is 33031104214183. The reversal of 33031104214131 is 13141240113033.

33031104214131 is a `hidden beast` number, since 3 + 3 + 0 + 311 + 0 + 4 + 214 + 131 = 666.

It is not a de Polignac number, because 33031104214131 - 223 = 33031095825523 is a prime.

It is a super-2 number, since 2×330311042141312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 33031104214095 and 33031104214104.

It is not an unprimeable number, because it can be changed into a prime (33031104214931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214350796 + ... + 214504838.

It is an arithmetic number, because the mean of its divisors is an integer number (1091469827448).

Almost surely, 233031104214131 is an apocalyptic number.

33031104214131 is a deficient number, since it is larger than the sum of its proper divisors (19359447503373).

33031104214131 is a wasteful number, since it uses less digits than its factorization.

33031104214131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205982 (or 205970 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 33031104214131 its reverse (13141240113033), we get a palindrome (46172344327164).

The spelling of 33031104214131 in words is "thirty-three trillion, thirty-one billion, one hundred four million, two hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 3 9 17 27 51 81 153 243 459 1377 4131 51907 154043 155721 462129 467163 882419 1386387 1401489 2618731 2647257 4159161 4204467 7856193 7941771 12477483 12613401 23568579 23825313 37432449 70705737 71475939 212117211 214427817 636351633 7995910001 23987730003 71963190009 135930470017 215889570027 407791410051 647668710081 1223374230153 1943006130243 3670122690459 11010368071377 33031104214131