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130312032 = 2531971443
BaseRepresentation
bin1111100010001…
…10011101100000
3100002012112111120
413301012131200
5231324441112
620533012240
73141430314
oct761063540
9302175446
10130312032
11676153a4
1237784080
1320cc7816
1413441b44
15b690e8c
hex7c46760

130312032 has 48 divisors (see below), whose sum is σ = 360077760. Its totient is φ = 41150592.

The previous prime is 130312019. The next prime is 130312037. The reversal of 130312032 is 230213031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130312037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33898 + ... + 37545.

It is an arithmetic number, because the mean of its divisors is an integer number (7501620).

Almost surely, 2130312032 is an apocalyptic number.

130312032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130312032 is an abundant number, since it is smaller than the sum of its proper divisors (229765728).

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

130312032 is a wasteful number, since it uses less digits than its factorization.

130312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71475 (or 71467 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130312032 is about 11415.4295582777. The cubic root of 130312032 is about 506.9846833913.

Adding to 130312032 its reverse (230213031), we get a palindrome (360525063).

Subtracting 130312032 from its reverse (230213031), we obtain a palindrome (99900999).

The spelling of 130312032 in words is "one hundred thirty million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 71443 142886 214329 285772 428658 571544 857316 1143088 1357417 1714632 2286176 2714834 3429264 4072251 5429668 6858528 8144502 10859336 16289004 21718672 32578008 43437344 65156016 130312032