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130011312 = 2433537673
BaseRepresentation
bin1111011111111…
…01000010110000
3100001122020222210
413233331002300
5231240330222
620522332120
73136035504
oct757750260
9301566883
10130011312
116742a472
123765a040
1320c20992
14133a4304
15b631d0c
hex7bfd0b0

130011312 has 40 divisors (see below), whose sum is σ = 336857904. Its totient is φ = 43208704.

The previous prime is 130011311. The next prime is 130011361. The reversal of 130011312 is 213110031.

It is a super-2 number, since 2×1300113122 = 33805882495922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (130011311) 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, 13108 + ... + 20780.

Almost surely, 2130011312 is an apocalyptic number.

130011312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130011312 is an abundant number, since it is smaller than the sum of its proper divisors (206846592).

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

130011312 is a wasteful number, since it uses less digits than its factorization.

130011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8037 (or 8031 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 130011312 is about 11402.2503042163. The cubic root of 130011312 is about 506.5943948931.

Adding to 130011312 its reverse (213110031), we get a palindrome (343121343).

The spelling of 130011312 in words is "one hundred thirty million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 353 706 1059 1412 2118 2824 4236 5648 7673 8472 15346 16944 23019 30692 46038 61384 92076 122768 184152 368304 2708569 5417138 8125707 10834276 16251414 21668552 32502828 43337104 65005656 130011312