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11002000100 = 22527132634597
BaseRepresentation
bin10100011111100010…
…10011001011100100
31001101202012111212012
422033301103023210
5140013003000400
65015415013352
7536432313020
oct121761231344
931352174765
1011002000100
114736384573
12217066a258
131064477b40
14765271380
15445d36d35
hex28fc532e4

11002000100 has 144 divisors (see below), whose sum is σ = 29501945088. Its totient is φ = 3467957760.

The previous prime is 11002000063. The next prime is 11002000169. The reversal of 11002000100 is 100020011.

It is a happy number.

11002000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

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 47 ways as a sum of consecutive naturals, for example, 2391002 + ... + 2395598.

Almost surely, 211002000100 is an apocalyptic number.

11002000100 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 11002000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14750972544).

11002000100 is an abundant number, since it is smaller than the sum of its proper divisors (18499944988).

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

11002000100 is a wasteful number, since it uses less digits than its factorization.

11002000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4894 (or 4887 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 11002000100 its reverse (100020011), we get a palindrome (11102020111).

The spelling of 11002000100 in words is "eleven billion, two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 263 325 350 364 455 526 650 700 910 1052 1300 1315 1820 1841 2275 2630 3419 3682 4550 4597 5260 6575 6838 7364 9100 9194 9205 13150 13676 17095 18388 18410 22985 23933 26300 32179 34190 36820 45970 46025 47866 59761 64358 68380 85475 91940 92050 95732 114925 119522 119665 128716 160895 170950 184100 229850 239044 239330 298805 321790 341900 418327 459700 478660 597610 598325 643580 804475 836654 1195220 1196650 1209011 1494025 1608950 1673308 2091635 2393300 2418022 2988050 3217900 4183270 4836044 5976100 6045055 8366540 8463077 10458175 12090110 15717143 16926154 20916350 24180220 30225275 31434286 33852308 41832700 42315385 60450550 62868572 78585715 84630770 110020001 120901100 157171430 169261540 211576925 220040002 314342860 392928575 423153850 440080004 550100005 785857150 846307700 1100200010 1571714300 2200400020 2750500025 5501000050 11002000100