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33130313211231 = 331227048637453
BaseRepresentation
bin1111000100001110000001…
…00011001101110101011111
311100022020010111021001121000
413202013000203031311133
513320301340140224411
6154243504503041343
76656405021563035
oct742070043156537
9140266114231530
1033130313211231
11a61353a114115
123870a62a40253
1315642379b8b62
148277311a0555
153c6bdeaee956
hex1e21c08cdd5f

33130313211231 has 8 divisors (see below), whose sum is σ = 49081945498160. Its totient is φ = 22086875474136.

The previous prime is 33130313211227. The next prime is 33130313211311. The reversal of 33130313211231 is 13211231303133.

33130313211231 is a `hidden beast` number, since 3 + 3 + 1 + 303 + 1 + 321 + 1 + 2 + 31 = 666.

It is not a de Polignac number, because 33130313211231 - 22 = 33130313211227 is a prime.

It is a super-2 number, since 2×331303132112312 (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), and also a Moran number because the ratio is a prime number: 1227048637453 = 33130313211231 / (3 + 3 + 1 + 3 + 0 + 3 + 1 + 3 + 2 + 1 + 1 + 2 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33130313211195 and 33130313211204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130313212231) 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 7 ways as a sum of consecutive naturals, for example, 613524318700 + ... + 613524318753.

It is an arithmetic number, because the mean of its divisors is an integer number (6135243187270).

Almost surely, 233130313211231 is an apocalyptic number.

33130313211231 is a deficient number, since it is larger than the sum of its proper divisors (15951632286929).

33130313211231 is a wasteful number, since it uses less digits than its factorization.

33130313211231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227048637462 (or 1227048637456 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 33130313211231 its reverse (13211231303133), we get a palindrome (46341544514364).

The spelling of 33130313211231 in words is "thirty-three trillion, one hundred thirty billion, three hundred thirteen million, two hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 9 27 1227048637453 3681145912359 11043437737077 33130313211231