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124241312 = 25131012957
BaseRepresentation
bin1110110011111…
…00010110100000
322122210010001002
413121330112200
5223301210222
620154531132
73036014366
oct731742640
9278703032
10124241312
1164149378
1235736aa8
131c980590
1412701636
15ad92392
hex767c5a0

124241312 has 48 divisors (see below), whose sum is σ = 266113512. Its totient is φ = 56755200.

The previous prime is 124241309. The next prime is 124241333. The reversal of 124241312 is 213142421.

It can be written as a sum of positive squares in 4 ways, for example, as 99281296 + 24960016 = 9964^2 + 4996^2 .

It is a super-3 number, since 3×1242413123 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40538 + ... + 43494.

Almost surely, 2124241312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056756).

124241312 is an abundant number, since it is smaller than the sum of its proper divisors (141872200).

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

124241312 is a wasteful number, since it uses less digits than its factorization.

124241312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3073 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 124241312 is about 11146.3586879303. The cubic root of 124241312 is about 498.9863624665.

Adding to 124241312 its reverse (213142421), we get a palindrome (337383733).

The spelling of 124241312 in words is "one hundred twenty-four million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 2626 2957 3232 5252 5914 10504 11828 21008 23656 38441 42016 47312 76882 94624 153764 298657 307528 597314 615056 1194628 1230112 2389256 3882541 4778512 7765082 9557024 15530164 31060328 62120656 124241312