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1258130412 = 2232711531
BaseRepresentation
bin100101011111101…
…1000101111101100
310020200101122110200
41022333120233230
510034040133122
6324502033500
743114634460
oct11277305754
93220348420
101258130412
11596200000
122b1418890
13170868486
14bd1424a0
15756be5ac
hex4afd8bec

1258130412 has 216 divisors, whose sum is σ = 4127026176. Its totient is φ = 316245600.

The previous prime is 1258130389. The next prime is 1258130413. The reversal of 1258130412 is 2140318521.

1258130412 is a `hidden beast` number, since 12 + 581 + 30 + 41 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1258130413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40584837 + ... + 40584867.

Almost surely, 21258130412 is an apocalyptic number.

1258130412 is a gapful number since it is divisible by the number (12) 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 1258130412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063513088).

1258130412 is an abundant number, since it is smaller than the sum of its proper divisors (2868895764).

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

1258130412 is an equidigital number, since it uses as much as digits as its factorization.

1258130412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1258130412 is about 35470.1340848889. The cubic root of 1258130412 is about 1079.5478251129.

Adding to 1258130412 its reverse (2140318521), we get a palindrome (3398448933).

The spelling of 1258130412 in words is "one billion, two hundred fifty-eight million, one hundred thirty thousand, four hundred twelve".