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181802137 = 1125328349
BaseRepresentation
bin10101101011000…
…01010010011001
3110200002111122111
422311201102121
5333020132022
630012352321
74335202246
oct1265412231
9420074574
10181802137
1193693700
1250a756a1
132b88523a
141a2065cd
1510e62477
hexad61499

181802137 has 12 divisors (see below), whose sum is σ = 203609700. Its totient is φ = 162150560.

The previous prime is 181802123. The next prime is 181802161. The reversal of 181802137 is 731208181.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58614336 + 123187801 = 7656^2 + 11099^2 .

It is not a de Polignac number, because 181802137 - 215 = 181769369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 181802099 and 181802108.

It is not an unprimeable number, because it can be changed into a prime (181802177) 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 11 ways as a sum of consecutive naturals, for example, 7762 + ... + 20587.

It is an arithmetic number, because the mean of its divisors is an integer number (16967475).

Almost surely, 2181802137 is an apocalyptic number.

It is an amenable number.

181802137 is a deficient number, since it is larger than the sum of its proper divisors (21807563).

181802137 is a wasteful number, since it uses less digits than its factorization.

181802137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28424 (or 28413 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 181802137 is about 13483.4022783569. The cubic root of 181802137 is about 566.4996700912.

The spelling of 181802137 in words is "one hundred eighty-one million, eight hundred two thousand, one hundred thirty-seven".

Divisors: 1 11 53 121 583 6413 28349 311839 1502497 3430229 16527467 181802137