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130523413140 = 22325725130073
BaseRepresentation
bin111100110001111001…
…1010011101010010100
3110110220101211101110200
41321203303103222110
54114302443210030
6135543413420500
712300330464121
oct1714363235224
9413811741420
10130523413140
115039a07817a
122136803a730
13c401466753
146462bd7748
1535ddca3d60
hex1e63cd3a94

130523413140 has 36 divisors (see below), whose sum is σ = 395921020404. Its totient is φ = 34806243456.

The previous prime is 130523413129. The next prime is 130523413151. The reversal of 130523413140 is 41314325031.

It is a happy number.

130523413140 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 2 + 341 + 314 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130523413129) and next prime (130523413151).

It can be written as a sum of positive squares in 2 ways, for example, as 91743563664 + 38779849476 = 302892^2 + 196926^2 .

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

It is a super-2 number, since 2×1305234131402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 362564857 + ... + 362565216.

Almost surely, 2130523413140 is an apocalyptic number.

130523413140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130523413140 is an abundant number, since it is smaller than the sum of its proper divisors (265397607264).

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

130523413140 is a wasteful number, since it uses less digits than its factorization.

130523413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725130088 (or 725130083 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 130523413140 its reverse (41314325031), we get a palindrome (171837738171).

The spelling of 130523413140 in words is "one hundred thirty billion, five hundred twenty-three million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 725130073 1450260146 2175390219 2900520292 3625650365 4350780438 6526170657 7251300730 8701560876 10876951095 13052341314 14502601460 21753902190 26104682628 32630853285 43507804380 65261706570 130523413140