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124113312 = 2532430949
BaseRepresentation
bin1110110010111…
…01000110100000
322122112121110100
413121131012200
5223233111222
620152102400
73034642251
oct731350640
9278477410
10124113312
1164071194
1235694a00
131c93723b
14126aab28
15ad694ac
hex765d1a0

124113312 has 36 divisors (see below), whose sum is σ = 352948050. Its totient is φ = 41371008.

The previous prime is 124113299. The next prime is 124113317. The reversal of 124113312 is 213311421.

It can be written as a sum of positive squares in only one way, i.e., 105760656 + 18352656 = 10284^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1241133122 = 30808228431218688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (124113317) 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 5 ways as a sum of consecutive naturals, for example, 215187 + ... + 215762.

Almost surely, 2124113312 is an apocalyptic number.

124113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

124113312 is an abundant number, since it is smaller than the sum of its proper divisors (228834738).

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

124113312 is a wasteful number, since it uses less digits than its factorization.

124113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430965 (or 430954 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 124113312 is about 11140.6154228570. The cubic root of 124113312 is about 498.8149428313.

Adding to 124113312 its reverse (213311421), we get a palindrome (337424733).

The spelling of 124113312 in words is "one hundred twenty-four million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 430949 861898 1292847 1723796 2585694 3447592 3878541 5171388 6895184 7757082 10342776 13790368 15514164 20685552 31028328 41371104 62056656 124113312