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852081121 = 2064141281
BaseRepresentation
bin110010110010011…
…011100111100001
32012101100012120001
4302302123213201
53221113043441
6220315020001
730054366343
oct6262334741
92171305501
10852081121
113a7a83181
121b943a601
131076b9618
1481245293
154ec13731
hex32c9b9e1

852081121 has 4 divisors (see below), whose sum is σ = 852143044. Its totient is φ = 852019200.

The previous prime is 852081119. The next prime is 852081151. The reversal of 852081121 is 121180258.

852081121 is a nontrivial binomial coefficient, being equal to C(41282, 2).

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 121180258 = 260590129.

It can be written as a sum of positive squares in 2 ways, for example, as 242238096 + 609843025 = 15564^2 + 24695^2 .

It is a 3-Lehmer number, since φ(852081121) divides (852081121-1)3.

It is a cyclic number.

It is not a de Polignac number, because 852081121 - 21 = 852081119 is a prime.

It is a deceptive number, since it divides R852081120.

It is a self number, because there is not a number n which added to its sum of digits gives 852081121.

It is not an unprimeable number, because it can be changed into a prime (852081151) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 41281.

It is an arithmetic number, because the mean of its divisors is an integer number (213035761).

It is a Poulet number, since it divides 2852081120-1.

Almost surely, 2852081121 is an apocalyptic number.

852081121 is the 41281-st triangular number and also the 20641-st hexagonal number.

852081121 is the 13761-st centered nonagonal number.

It is an amenable number.

852081121 is a deficient number, since it is larger than the sum of its proper divisors (61923).

852081121 is a wasteful number, since it uses less digits than its factorization.

852081121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61922.

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 852081121 is about 29190.4285854113. The cubic root of 852081121 is about 948.0406972298.

The spelling of 852081121 in words is "eight hundred fifty-two million, eighty-one thousand, one hundred twenty-one".

Divisors: 1 20641 41281 852081121