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11130302100 = 2235253798861
BaseRepresentation
bin10100101110110101…
…01110111010010100
31001201200121221010010
422113122232322110
5140243324131400
65040241000220
7542551002231
oct122732567224
931650557103
1011130302100
1147a1846785
1221a7623070
131084c1a798
1477830c788
1545222c450
hex2976aee94

11130302100 has 144 divisors (see below), whose sum is σ = 33230373120. Its totient is φ = 2874892800.

The previous prime is 11130302059. The next prime is 11130302123. The reversal of 11130302100 is 120303111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251670 + ... + 1260530.

It is an arithmetic number, because the mean of its divisors is an integer number (230766480).

Almost surely, 211130302100 is an apocalyptic number.

11130302100 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 11130302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16615186560).

11130302100 is an abundant number, since it is smaller than the sum of its proper divisors (22100071020).

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

11130302100 is a wasteful number, since it uses less digits than its factorization.

11130302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 9003 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11130302100 its reverse (120303111), we get a palindrome (11250605211).

The spelling of 11130302100 in words is "eleven billion, one hundred thirty million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 79 100 106 150 158 159 212 237 265 300 316 318 395 474 530 636 790 795 948 1060 1185 1325 1580 1590 1975 2370 2650 3180 3950 3975 4187 4740 5300 5925 7900 7950 8374 8861 11850 12561 15900 16748 17722 20935 23700 25122 26583 35444 41870 44305 50244 53166 62805 83740 88610 104675 106332 125610 132915 177220 209350 221525 251220 265830 314025 418700 443050 469633 531660 628050 664575 700019 886100 939266 1256100 1329150 1400038 1408899 1878532 2100057 2348165 2658300 2800076 2817798 3500095 4200114 4696330 5635596 7000190 7044495 8400228 9392660 10500285 11740825 14000380 14088990 17500475 21000570 23481650 28177980 35000950 35222475 37101007 42001140 46963300 52501425 70001900 70444950 74202014 105002850 111303021 140889900 148404028 185505035 210005700 222606042 371010070 445212084 556515105 742020140 927525175 1113030210 1855050350 2226060420 2782575525 3710100700 5565151050 11130302100