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1034051112 = 2332172321597
BaseRepresentation
bin111101101000100…
…101111000101000
32200001202020110100
4331220211320220
54104204113422
6250335145400
734424201163
oct7550457050
92601666410
101034051112
114907709a6
1224a375260
13136300083
149b492ada
1560baa7ac
hex3da25e28

1034051112 has 144 divisors (see below), whose sum is σ = 3101765940. Its totient is φ = 310109184.

The previous prime is 1034051111. The next prime is 1034051113. The reversal of 1034051112 is 2111504301.

1034051112 is a `hidden beast` number, since 103 + 40 + 511 + 12 = 666.

1034051112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1034051111) and next prime (1034051113).

It can be written as a sum of positive squares in 2 ways, for example, as 1033879716 + 171396 = 32154^2 + 414^2 .

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 (1034051111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 646698 + ... + 648294.

Almost surely, 21034051112 is an apocalyptic number.

1034051112 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 1034051112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550882970).

1034051112 is an abundant number, since it is smaller than the sum of its proper divisors (2067714828).

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

1034051112 is a wasteful number, since it uses less digits than its factorization.

1034051112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1642 counting only the distinct ones).

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

The square root of 1034051112 is about 32156.6651256003. The cubic root of 1034051112 is about 1011.2239229047.

Adding to 1034051112 its reverse (2111504301), we get a palindrome (3145555413).

The spelling of 1034051112 in words is "one billion, thirty-four million, fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 529 552 612 782 828 1058 1173 1224 1564 1587 1597 1656 2116 2346 3128 3174 3194 3519 4232 4692 4761 4791 6348 6388 7038 8993 9384 9522 9582 12696 12776 14076 14373 17986 19044 19164 26979 27149 28152 28746 35972 36731 38088 38328 53958 54298 57492 71944 73462 80937 81447 107916 108596 110193 114984 146924 161874 162894 215832 217192 220386 244341 293848 323748 325788 330579 440772 488682 624427 647496 651576 661158 844813 881544 977364 1248854 1322316 1689626 1873281 1954728 2497708 2534439 2644632 3379252 3746562 4995416 5068878 5619843 6758504 7493124 7603317 10137756 11239686 14361821 14986248 15206634 20275512 22479372 28723642 30413268 43085463 44958744 57447284 60826536 86170926 114894568 129256389 172341852 258512778 344683704 517025556 1034051112