Search a number
-
+
1051134112 = 25719312257
BaseRepresentation
bin111110101001110…
…000100010100000
32201020220010221001
4332221300202200
54123042242422
6252145241344
735022330640
oct7651604240
92636803831
101051134112
1149a379686
12254033254
13139a01862
149d85c520
1562432227
hex3ea708a0

1051134112 has 144 divisors (see below), whose sum is σ = 2582435520. Its totient is φ = 411402240.

The previous prime is 1051134083. The next prime is 1051134113. The reversal of 1051134112 is 2114311501.

It is a super-2 number, since 2×10511341122 = 2209765842820057088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 1051134112.

It is not an unprimeable number, because it can be changed into a prime (1051134113) 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 23 ways as a sum of consecutive naturals, for example, 4089888 + ... + 4090144.

It is an arithmetic number, because the mean of its divisors is an integer number (17933580).

Almost surely, 21051134112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051134112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291217760).

1051134112 is an abundant number, since it is smaller than the sum of its proper divisors (1531301408).

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

1051134112 is a wasteful number, since it uses less digits than its factorization.

1051134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 1051134112 is about 32421.1984972795. The cubic root of 1051134112 is about 1016.7621639699.

Adding to 1051134112 its reverse (2114311501), we get a palindrome (3165445613).

The spelling of 1051134112 in words is "one billion, fifty-one million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 217 224 248 257 266 304 434 496 514 532 589 608 868 961 992 1028 1064 1178 1736 1799 1922 2056 2128 2356 3472 3598 3844 4112 4123 4256 4712 4883 6727 6944 7196 7688 7967 8224 8246 9424 9766 13454 14392 15376 15934 16492 18259 18848 19532 26908 28784 30752 31868 32984 34181 36518 39064 53816 55769 57568 63736 65968 68362 73036 78128 107632 111538 127472 127813 131936 136724 146072 151373 156256 215264 223076 246977 254944 255626 273448 292144 302746 446152 493954 511252 546896 584288 605492 892304 987908 1022504 1059611 1093792 1210984 1728839 1784608 1975816 2045008 2119222 2421968 3457678 3951632 4090016 4238444 4692563 4843936 6915356 7903264 8476888 9385126 13830712 16953776 18770252 27661424 32847941 33907552 37540504 55322848 65695882 75081008 131391764 150162016 262783528 525567056 1051134112