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11331132000201 = 341316216638377
BaseRepresentation
bin1010010011100011110000…
…0110010000011111001001
31111010020122001221011210000
42210320330012100133021
52441122124243001301
640033241123313213
72246435004556656
oct244707406203711
944106561834700
1011331132000201
1136795626807a2
12133007121b809
136426a0cc0c50
142b26031d0c2d
15149b37049786
hexa4e3c1907c9

11331132000201 has 40 divisors (see below), whose sum is σ = 18240058802504. Its totient is φ = 6968701589760.

The previous prime is 11331132000103. The next prime is 11331132000217. The reversal of 11331132000201 is 10200023113311.

11331132000201 is a `hidden beast` number, since 1 + 1 + 331 + 132 + 0 + 0 + 0 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4836814924176 + 6494317076025 = 2199276^2 + 2548395^2 .

It is not a de Polignac number, because 11331132000201 - 219 = 11331131475913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11331132000281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1612276 + ... + 5026101.

Almost surely, 211331132000201 is an apocalyptic number.

It is an amenable number.

11331132000201 is a deficient number, since it is larger than the sum of its proper divisors (6908926802303).

11331132000201 is a wasteful number, since it uses less digits than its factorization.

11331132000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6640023 (or 6640014 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331132000201 its reverse (10200023113311), we get a palindrome (21531155113512).

The spelling of 11331132000201 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, two hundred one", and thus it is an aban number.

Divisors: 1 3 9 13 27 39 81 117 351 1053 1621 4863 14589 21073 43767 63219 131301 189657 568971 1706913 6638377 19915131 59745393 86298901 179236179 258896703 537708537 776690109 2330070327 6990210981 10760809117 32282427351 96847282053 139890518521 290541846159 419671555563 871625538477 1259014666689 3777044000067 11331132000201