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130315120 = 24513125303
BaseRepresentation
bin1111100010001…
…11001101110000
3100002012200201221
413301013031300
5231330040440
620533034424
73141442315
oct761071560
9302180657
10130315120
1167617751
1237785a14
1320cc9050
1413442d0c
15b691d4a
hex7c47370

130315120 has 40 divisors (see below), whose sum is σ = 326291616. Its totient is φ = 48115968.

The previous prime is 130315117. The next prime is 130315121. The reversal of 130315120 is 21513031.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1303151202 = 33964061001228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 130315094 and 130315103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130315121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61612 + ... + 63691.

Almost surely, 2130315120 is an apocalyptic number.

130315120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130315120 is an abundant number, since it is smaller than the sum of its proper divisors (195976496).

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

130315120 is a wasteful number, since it uses less digits than its factorization.

130315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125329 (or 125323 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 130315120 is about 11415.5648130086. The cubic root of 130315120 is about 506.9886880262.

Adding to 130315120 its reverse (21513031), we get a palindrome (151828151).

The spelling of 130315120 in words is "one hundred thirty million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 125303 250606 501212 626515 1002424 1253030 1628939 2004848 2506060 3257878 5012120 6515756 8144695 10024240 13031512 16289390 26063024 32578780 65157560 130315120