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112141153134 = 23317312003977
BaseRepresentation
bin110100001110000100…
…0100011001101101110
3101201110022100211022000
41220130020203031232
53314131113400014
6123303354033130
711046651034263
oct1503410431556
9351408324260
10112141153134
114361683715a
1219897a187a6
13a761c9641a
1455db70326a
152db508d509
hex1a1c22336e

112141153134 has 32 divisors (see below), whose sum is σ = 250643060640. Its totient is φ = 37164309696.

The previous prime is 112141153129. The next prime is 112141153139. The reversal of 112141153134 is 431351141211.

112141153134 is a `hidden beast` number, since 1 + 121 + 4 + 1 + 1 + 531 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (112141153129) and next prime (112141153139).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112141153098 and 112141153107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112141153139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5992647 + ... + 6011330.

It is an arithmetic number, because the mean of its divisors is an integer number (7832595645).

Almost surely, 2112141153134 is an apocalyptic number.

112141153134 is an abundant number, since it is smaller than the sum of its proper divisors (138501907506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112141153134 is a wasteful number, since it uses less digits than its factorization.

112141153134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12004161 (or 12004155 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

Adding to 112141153134 its reverse (431351141211), we get a palindrome (543492294345).

The spelling of 112141153134 in words is "one hundred twelve billion, one hundred forty-one million, one hundred fifty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 173 346 519 1038 1557 3114 4671 9342 12003977 24007954 36011931 72023862 108035793 216071586 324107379 648214758 2076688021 4153376042 6230064063 12460128126 18690192189 37380384378 56070576567 112141153134