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130523144 = 23173183373
BaseRepresentation
bin1111100011110…
…10000000001000
3100002121021002112
413301322000020
5231403220034
620541321452
73143266643
oct761720010
9302537075
10130523144
1167749a74
1237866288
132106c93b
1413498a5a
15b6d37ce
hex7c7a008

130523144 has 64 divisors (see below), whose sum is σ = 271434240. Its totient is φ = 58567680.

The previous prime is 130523143. The next prime is 130523207. The reversal of 130523144 is 441325031.

It is a super-3 number, since 3×1305231443 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (130523143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349742 + ... + 350114.

It is an arithmetic number, because the mean of its divisors is an integer number (4241160).

Almost surely, 2130523144 is an apocalyptic number.

It is an amenable number.

130523144 is an abundant number, since it is smaller than the sum of its proper divisors (140911096).

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

130523144 is a wasteful number, since it uses less digits than its factorization.

130523144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 130523144 is about 11424.6725992476. The cubic root of 130523144 is about 507.2583158475.

Adding to 130523144 its reverse (441325031), we get a palindrome (571848175).

The spelling of 130523144 in words is "one hundred thirty million, five hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 31 34 62 68 83 124 136 166 248 332 373 527 664 746 1054 1411 1492 2108 2573 2822 2984 4216 5146 5644 6341 10292 11288 11563 12682 20584 23126 25364 30959 43741 46252 50728 61918 87482 92504 123836 174964 196571 247672 349928 393142 526303 786284 959729 1052606 1572568 1919458 2105212 3838916 4210424 7677832 16315393 32630786 65261572 130523144