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130011112 = 23721122741
BaseRepresentation
bin1111011111111…
…00111111101000
3100001122020201101
413233330333220
5231240323422
620522331144
73136035100
oct757747750
9301566641
10130011112
116742a300
1237659ab4
1320c2086a
14133a4200
15b631c27
hex7bfcfe8

130011112 has 72 divisors (see below), whose sum is σ = 311806530. Its totient is φ = 50635200.

The previous prime is 130011107. The next prime is 130011131. The reversal of 130011112 is 211110031.

It can be written as a sum of positive squares in only one way, i.e., 119552356 + 10458756 = 10934^2 + 3234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46062 + ... + 48802.

Almost surely, 2130011112 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 130011112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155903265).

130011112 is an abundant number, since it is smaller than the sum of its proper divisors (181795418).

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

130011112 is a wasteful number, since it uses less digits than its factorization.

130011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 130011112 is about 11402.2415340143. The cubic root of 130011112 is about 506.5941351236.

Adding to 130011112 its reverse (211110031), we get a palindrome (341121143).

The spelling of 130011112 in words is "one hundred thirty million, eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 121 154 196 242 308 392 484 539 616 847 968 1078 1694 2156 2741 3388 4312 5482 5929 6776 10964 11858 19187 21928 23716 30151 38374 47432 60302 76748 120604 134309 153496 211057 241208 268618 331661 422114 537236 663322 844228 1074472 1326644 1477399 1688456 2321627 2653288 2954798 4643254 5909596 9286508 11819192 16251389 18573016 32502778 65005556 130011112