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11010000010100 = 225271311057109423
BaseRepresentation
bin1010000000110111011100…
…1000111011101101110100
31102222112201211102211021212
42200031313020323231310
52420341440000310400
635225531342300552
72214306030646610
oct240156710735564
942875654384255
1011010000010100
113565350a80573
12129998a887758
1361b314115cb0
142a0c5b6dc340
151415de56a335
hexa037723bb74

11010000010100 has 144 divisors (see below), whose sum is σ = 29408097427968. Its totient is φ = 3484136540160.

The previous prime is 11010000010081. The next prime is 11010000010103. The reversal of 11010000010100 is 101000001011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010000010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100563989 + ... + 100673411.

Almost surely, 211010000010100 is an apocalyptic number.

11010000010100 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 11010000010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704048713984).

11010000010100 is an abundant number, since it is smaller than the sum of its proper divisors (18398097417868).

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

11010000010100 is a wasteful number, since it uses less digits than its factorization.

11010000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120514 (or 120507 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11010000010100 its reverse (101000001011), we get a palindrome (11111000011111).

The spelling of 11010000010100 in words is "eleven trillion, ten billion, ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 11057 22114 44228 55285 77399 109423 110570 143741 154798 218846 221140 276425 287482 309596 386995 437692 547115 552850 574964 718705 765961 773990 1006187 1094230 1105700 1422499 1437410 1531922 1547980 1934975 2012374 2188460 2735575 2844998 2874820 3063844 3593525 3829805 3869950 4024748 5030935 5471150 5689996 7112495 7187050 7659610 7739900 9957493 10061870 10942300 14224990 14374100 15319220 19149025 19914986 20123740 25154675 28449980 35562475 38298050 39829972 49787465 50309350 71124950 76596100 99574930 100618700 142249900 199149860 248937325 497874650 995749300 1209890111 2419780222 4839560444 6049450555 8469230777 12098901110 15728571443 16938461554 24197802220 30247252775 31457142886 33876923108 42346153885 60494505550 62914285772 78642857215 84692307770 110100000101 120989011100 157285714430 169384615540 211730769425 220200000202 314571428860 393214286075 423461538850 440400000404 550500000505 786428572150 846923077700 1101000001010 1572857144300 2202000002020 2752500002525 5505000005050 11010000010100