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130033112 = 23111983937
BaseRepresentation
bin1111100000000…
…10010111011000
3100001200100220012
413300002113120
5231242024422
620523021052
73136156166
oct760022730
9301610805
10130033112
1167444890
123766a788
1320c2a891
14133ac236
15b6384e2
hex7c025d8

130033112 has 64 divisors (see below), whose sum is σ = 283651200. Its totient is φ = 55261440.

The previous prime is 130033097. The next prime is 130033121. The reversal of 130033112 is 211330031.

It is a super-2 number, since 2×1300331122 = 33817220432809088, which 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 15 ways as a sum of consecutive naturals, for example, 138308 + ... + 139244.

It is an arithmetic number, because the mean of its divisors is an integer number (4432050).

Almost surely, 2130033112 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 130033112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141825600).

130033112 is an abundant number, since it is smaller than the sum of its proper divisors (153618088).

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

130033112 is a wasteful number, since it uses less digits than its factorization.

130033112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 130033112 is about 11403.2062157974. The cubic root of 130033112 is about 506.6227081746.

Adding to 130033112 its reverse (211330031), we get a palindrome (341363143).

The spelling of 130033112 in words is "one hundred thirty million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 83 88 152 166 209 332 418 664 836 913 937 1577 1672 1826 1874 3154 3652 3748 6308 7304 7496 10307 12616 17347 17803 20614 34694 35606 41228 69388 71212 77771 82456 138776 142424 155542 195833 311084 391666 622168 783332 855481 1477649 1566664 1710962 2955298 3421924 5910596 6843848 11821192 16254139 32508278 65016556 130033112