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33014212031133 = 328959093697481
BaseRepresentation
bin1111000000110101110000…
…11000010111001010011101
311022220010110012102000112200
413200122320120113022131
513311401101234444013
6154114304123522113
76645124644045354
oct740327030271235
9138803405360480
1033014212031133
11a579281016103
123852460989339
1315562c4488518
14821c7999099b
153c3b97084e73
hex1e06b861729d

33014212031133 has 24 divisors (see below), whose sum is σ = 48223891530360. Its totient is φ = 21761777748480.

The previous prime is 33014212031077. The next prime is 33014212031161. The reversal of 33014212031133 is 33113021241033.

33014212031133 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 421 + 203 + 1 + 1 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20202265164249 + 12811946866884 = 4494693^2 + 3579378^2 .

It is not a de Polignac number, because 33014212031133 - 210 = 33014212030109 is a prime.

It is a super-2 number, since 2×330142120311332 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33014212031097 and 33014212031106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33014212031533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46984753 + ... + 47682233.

It is an arithmetic number, because the mean of its divisors is an integer number (2009328813765).

Almost surely, 233014212031133 is an apocalyptic number.

It is an amenable number.

33014212031133 is a deficient number, since it is larger than the sum of its proper divisors (15209679499227).

33014212031133 is a wasteful number, since it uses less digits than its factorization.

33014212031133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756669 (or 756666 counting only the distinct ones).

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

Adding to 33014212031133 its reverse (33113021241033), we get a palindrome (66127233272166).

The spelling of 33014212031133 in words is "thirty-three trillion, fourteen billion, two hundred twelve million, thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 89 267 801 59093 177279 531837 697481 2092443 5259277 6277329 15777831 47333493 62075809 186227427 558682281 41216244733 123648734199 370946202597 3668245781237 11004737343711 33014212031133