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3130130112 = 26350932029
BaseRepresentation
bin1011101010010001…
…1111111011000000
322002010220002021220
42322210133323000
522402303130422
61234333315040
7140365444524
oct27244377300
98063802256
103130130112
11136697109a
12734335a80
133ab6472c5
142199dbd84
15134beae5c
hexba91fec0

3130130112 has 56 divisors (see below), whose sum is σ = 8298332400. Its totient is φ = 1041294336.

The previous prime is 3130130071. The next prime is 3130130119. The reversal of 3130130112 is 2110310313.

It is a junction number, because it is equal to n+sod(n) for n = 3130130091 and 3130130100.

It is not an unprimeable number, because it can be changed into a prime (3130130119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81714 + ... + 113742.

Almost surely, 23130130112 is an apocalyptic number.

3130130112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3130130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149166200).

3130130112 is an abundant number, since it is smaller than the sum of its proper divisors (5168202288).

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

3130130112 is a wasteful number, since it uses less digits than its factorization.

3130130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32553 (or 32543 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3130130112 is about 55947.5657379300. The cubic root of 3130130112 is about 1462.8084604393.

Adding to 3130130112 its reverse (2110310313), we get a palindrome (5240440425).

The spelling of 3130130112 in words is "three billion, one hundred thirty million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 509 1018 1527 2036 3054 4072 6108 8144 12216 16288 24432 32029 32576 48864 64058 96087 97728 128116 192174 256232 384348 512464 768696 1024928 1537392 2049856 3074784 6149568 16302761 32605522 48908283 65211044 97816566 130422088 195633132 260844176 391266264 521688352 782532528 1043376704 1565065056 3130130112