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2135133 = 337111379
BaseRepresentation
bin1000001001010001011101
311000110212000
420021101131
51021311013
6113432513
724101610
oct10112135
94013760
102135133
111229180
1286b739
13599ac0
143d8177
152c2973
hex20945d

2135133 has 64 divisors (see below), whose sum is σ = 4300800. Its totient is φ = 1010880.

The previous prime is 2135117. The next prime is 2135141. The reversal of 2135133 is 3315312.

It is not a de Polignac number, because 2135133 - 24 = 2135117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26988 + ... + 27066.

It is an arithmetic number, because the mean of its divisors is an integer number (67200).

22135133 is an apocalyptic number.

It is an amenable number.

2135133 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2135133 is a wasteful number, since it uses less digits than its factorization.

2135133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its digits is 270, while the sum is 18.

The square root of 2135133 is about 1461.2094305745. The cubic root of 2135133 is about 128.7681069202.

The spelling of 2135133 in words is "two million, one hundred thirty-five thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 79 91 99 117 143 189 231 237 273 297 351 429 553 693 711 819 869 1001 1027 1287 1659 2079 2133 2457 2607 3003 3081 3861 4977 6083 7189 7821 9009 9243 11297 14931 18249 21567 23463 27027 27729 33891 54747 64701 79079 101673 164241 194103 237237 305019 711711 2135133