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130712232 = 2337778049
BaseRepresentation
bin1111100101010…
…00001010101000
3100002221212110210
413302220022220
5231430242412
620545341120
73145015140
oct762501250
9302855423
10130712232
1167869042
12379377a0
1321107a21
1413507920
15b71e83c
hex7ca82a8

130712232 has 32 divisors (see below), whose sum is σ = 373464000. Its totient is φ = 37346304.

The previous prime is 130712221. The next prime is 130712237. The reversal of 130712232 is 232217031.

130712232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130712199 and 130712208.

It is not an unprimeable number, because it can be changed into a prime (130712237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 388857 + ... + 389192.

It is an arithmetic number, because the mean of its divisors is an integer number (11670750).

Almost surely, 2130712232 is an apocalyptic number.

130712232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130712232 is an abundant number, since it is smaller than the sum of its proper divisors (242751768).

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

130712232 is a wasteful number, since it uses less digits than its factorization.

130712232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778065 (or 778061 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 130712232 is about 11432.9450274197. The cubic root of 130712232 is about 507.5031515573.

Adding to 130712232 its reverse (232217031), we get a palindrome (362929263).

The spelling of 130712232 in words is "one hundred thirty million, seven hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 778049 1556098 2334147 3112196 4668294 5446343 6224392 9336588 10892686 16339029 18673176 21785372 32678058 43570744 65356116 130712232