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1382182101 = 32372112181
BaseRepresentation
bin101001001100010…
…0110110011010101
310120022211010101200
41102120212303111
510312314311401
6345052543113
746152232266
oct12230466325
93508733350
101382182101
1164a229963
12326a81a99
13190480641
14d17d496d
1581525686
hex52626cd5

1382182101 has 18 divisors (see below), whose sum is σ = 2051920962. Its totient is φ = 896542560.

The previous prime is 1382182057. The next prime is 1382182111. The reversal of 1382182101 is 1012812831.

1382182101 is a `hidden beast` number, since 1 + 382 + 182 + 101 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1167588900 + 214593201 = 34170^2 + 14649^2 .

It is not a de Polignac number, because 1382182101 - 230 = 308440277 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1382182111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43770 + ... + 68411.

It is an arithmetic number, because the mean of its divisors is an integer number (113995609).

Almost surely, 21382182101 is an apocalyptic number.

It is an amenable number.

1382182101 is a deficient number, since it is larger than the sum of its proper divisors (669738861).

1382182101 is a wasteful number, since it uses less digits than its factorization.

1382182101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112261 (or 112221 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1382182101 is about 37177.7097331183. The cubic root of 1382182101 is about 1113.9227870399.

Adding to 1382182101 its reverse (1012812831), we get a palindrome (2394994932).

The spelling of 1382182101 in words is "one billion, three hundred eighty-two million, one hundred eighty-two thousand, one hundred one".

Divisors: 1 3 9 37 111 333 1369 4107 12321 112181 336543 1009629 4150697 12452091 37356273 153575789 460727367 1382182101