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130110112 = 25111721279
BaseRepresentation
bin1111100000101…
…01001010100000
3100001211021112001
413300111022200
5231302010422
620524413344
73136626526
oct760251240
9301737461
10130110112
1167497720
12376a7254
1320c56942
14133cc316
15b651227
hex7c152a0

130110112 has 72 divisors (see below), whose sum is σ = 297077760. Its totient is φ = 55618560.

The previous prime is 130110107. The next prime is 130110173. The reversal of 130110112 is 211011031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101089 + ... + 102367.

It is an arithmetic number, because the mean of its divisors is an integer number (4126080).

Almost surely, 2130110112 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 130110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148538880).

130110112 is an abundant number, since it is smaller than the sum of its proper divisors (166967648).

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

130110112 is a wasteful number, since it uses less digits than its factorization.

130110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1309 counting only the distinct ones).

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

The square root of 130110112 is about 11406.5819595530. The cubic root of 130110112 is about 506.7226884808.

Adding to 130110112 its reverse (211011031), we get a palindrome (341121143).

The spelling of 130110112 in words is "one hundred thirty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 289 352 374 544 578 748 1156 1279 1496 2312 2558 2992 3179 4624 5116 5984 6358 9248 10232 12716 14069 20464 21743 25432 28138 40928 43486 50864 56276 86972 101728 112552 173944 225104 239173 347888 369631 450208 478346 695776 739262 956692 1478524 1913384 2957048 3826768 4065941 5914096 7653536 8131882 11828192 16263764 32527528 65055056 130110112