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823133151 = 3330486413
BaseRepresentation
bin110001000100000…
…000001111011111
32010100212111102000
4301010000033133
53141210230101
6213402333343
726253342051
oct6104001737
92110774360
10823133151
11392701135
121ab7ba253
131016c2449
147b46b8d1
154c3e6486
hex311003df

823133151 has 8 divisors (see below), whose sum is σ = 1219456560. Its totient is φ = 548755416.

The previous prime is 823133107. The next prime is 823133209. The reversal of 823133151 is 151331328.

It is not a de Polignac number, because 823133151 - 223 = 814744543 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 30486413 = 823133151 / (8 + 2 + 3 + 1 + 3 + 3 + 1 + 5 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823133351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15243180 + ... + 15243233.

It is an arithmetic number, because the mean of its divisors is an integer number (152432070).

Almost surely, 2823133151 is an apocalyptic number.

823133151 is a deficient number, since it is larger than the sum of its proper divisors (396323409).

823133151 is a wasteful number, since it uses less digits than its factorization.

823133151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30486422 (or 30486416 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 823133151 is about 28690.2971577500. The cubic root of 823133151 is about 937.1807604242.

Adding to 823133151 its reverse (151331328), we get a palindrome (974464479).

The spelling of 823133151 in words is "eight hundred twenty-three million, one hundred thirty-three thousand, one hundred fifty-one".

Divisors: 1 3 9 27 30486413 91459239 274377717 823133151