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130330112 = 291173317
BaseRepresentation
bin1111100010010…
…10111000000000
3100002020110022012
413301022320000
5231331030422
620533232052
73141534113
oct761127000
9302213265
10130330112
1167627a40
1237792628
1321002b13
141344857a
15b6964e2
hex7c4ae00

130330112 has 80 divisors (see below), whose sum is σ = 288878832. Its totient is φ = 58245120.

The previous prime is 130330111. The next prime is 130330117. The reversal of 130330112 is 211033031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130330111) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 410978 + ... + 411294.

Almost surely, 2130330112 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 130330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144439416).

130330112 is an abundant number, since it is smaller than the sum of its proper divisors (158548720).

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

130330112 is an equidigital number, since it uses as much as digits as its factorization.

130330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 403 counting only the distinct ones).

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

The square root of 130330112 is about 11416.2214414402. The cubic root of 130330112 is about 507.0081293184.

Adding to 130330112 its reverse (211033031), we get a palindrome (341363143).

The spelling of 130330112 in words is "one hundred thirty million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 128 146 176 256 292 317 352 512 584 634 704 803 1168 1268 1408 1606 2336 2536 2816 3212 3487 4672 5072 5632 6424 6974 9344 10144 12848 13948 18688 20288 23141 25696 27896 37376 40576 46282 51392 55792 81152 92564 102784 111584 162304 185128 205568 223168 254551 370256 411136 446336 509102 740512 892672 1018204 1481024 1785344 2036408 2962048 4072816 5924096 8145632 11848192 16291264 32582528 65165056 130330112