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1051021100 = 2252192771997
BaseRepresentation
bin111110101001010…
…100111100101100
32201020200101220102
4332221110330230
54123030133400
6252143010232
735021350313
oct7651247454
92636611812
101051021100
1149a301788
12253b99978
1313999229c
149d82d27a
156240d9d5
hex3ea54f2c

1051021100 has 72 divisors (see below), whose sum is σ = 2410626960. Its totient is φ = 396645120.

The previous prime is 1051021061. The next prime is 1051021129. The reversal of 1051021100 is 11201501.

It is a super-2 number, since 2×10510211002 = 2209290705290420000, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 525302 + ... + 527298.

It is an arithmetic number, because the mean of its divisors is an integer number (33480930).

Almost surely, 21051021100 is an apocalyptic number.

1051021100 is a gapful number since it is divisible by the number (10) 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 1051021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205313480).

1051021100 is an abundant number, since it is smaller than the sum of its proper divisors (1359605860).

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

1051021100 is a wasteful number, since it uses less digits than its factorization.

1051021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

The square root of 1051021100 is about 32419.4555784023. The cubic root of 1051021100 is about 1016.7257238231.

Adding to 1051021100 its reverse (11201501), we get a palindrome (1062222601).

The spelling of 1051021100 in words is "one billion, fifty-one million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 277 380 475 554 950 1108 1385 1900 1997 2770 3994 5263 5540 6925 7988 9985 10526 13850 19970 21052 26315 27700 37943 39940 49925 52630 75886 99850 105260 131575 151772 189715 199700 263150 379430 526300 553169 758860 948575 1106338 1897150 2212676 2765845 3794300 5531690 10510211 11063380 13829225 21020422 27658450 42040844 52551055 55316900 105102110 210204220 262755275 525510550 1051021100