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1050113412 = 2232109267613
BaseRepresentation
bin111110100101110…
…111010110000100
32201011222021210100
4332211313112010
54122312112122
6252111324100
735010550065
oct7645672604
92634867710
101050113412
11499841827
12253820630
131397350aa
149d67456c
15622ceaac
hex3e977584

1050113412 has 36 divisors (see below), whose sum is σ = 2678816140. Its totient is φ = 346825152.

The previous prime is 1050113411. The next prime is 1050113431. The reversal of 1050113412 is 2143110501.

It can be written as a sum of positive squares in 2 ways, for example, as 942244416 + 107868996 = 30696^2 + 10386^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10501134122 = 2205476356124563488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1050113411) 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 11 ways as a sum of consecutive naturals, for example, 129883 + ... + 137730.

Almost surely, 21050113412 is an apocalyptic number.

1050113412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1050113412 is an abundant number, since it is smaller than the sum of its proper divisors (1628702728).

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

1050113412 is a wasteful number, since it uses less digits than its factorization.

1050113412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267732 (or 267727 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1050113412 is about 32405.4534299398. The cubic root of 1050113412 is about 1016.4329496382.

Adding to 1050113412 its reverse (2143110501), we get a palindrome (3193223913).

It can be divided in two parts, 1050113 and 412, that added together give a triangular number (1050525 = T1449).

The spelling of 1050113412 in words is "one billion, fifty million, one hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 267613 535226 802839 1070452 1605678 2408517 3211356 4817034 9634068 29169817 58339634 87509451 116679268 175018902 262528353 350037804 525056706 1050113412