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201081681141 = 31116736487331
BaseRepresentation
bin1011101101000101100…
…1101111010011110101
3201020000201122210001220
42323101121233103311
511243303402244031
6232213050140553
720345664042225
oct2732131572365
9636021583056
10201081681141
1178307404260
1232b79a21759
1315c674579a3
149a37a12085
15536d3dc596
hex2ed166f4f5

201081681141 has 16 divisors (see below), whose sum is σ = 294233845248. Its totient is φ = 121137935600.

The previous prime is 201081681137. The next prime is 201081681191. The reversal of 201081681141 is 141186180102.

It is not a de Polignac number, because 201081681141 - 22 = 201081681137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201081681191) 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 15 ways as a sum of consecutive naturals, for example, 18238155 + ... + 18249176.

It is an arithmetic number, because the mean of its divisors is an integer number (18389615328).

Almost surely, 2201081681141 is an apocalyptic number.

It is an amenable number.

201081681141 is a deficient number, since it is larger than the sum of its proper divisors (93152164107).

201081681141 is a wasteful number, since it uses less digits than its factorization.

201081681141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36487512.

The product of its (nonzero) digits is 3072, while the sum is 33.

The spelling of 201081681141 in words is "two hundred one billion, eighty-one million, six hundred eighty-one thousand, one hundred forty-one".

Divisors: 1 3 11 33 167 501 1837 5511 36487331 109461993 401360641 1204081923 6093384277 18280152831 67027227047 201081681141