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11240100300 = 223521113262007
BaseRepresentation
bin10100111011111011…
…00101000111001100
31002000100020020221010
422131331211013030
5141004431202200
65055202205220
7545353163502
oct123575450714
932010206833
1011240100300
11484881a7a0
122218353810
1310a18b2030
14788b30672
1545bbba150
hex29df651cc

11240100300 has 144 divisors (see below), whose sum is σ = 38207054592. Its totient is φ = 2515257600.

The previous prime is 11240100271. The next prime is 11240100301. The reversal of 11240100300 is 300104211.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (11240100301) by changing a digit.

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, 88104 + ... + 173903.

It is an arithmetic number, because the mean of its divisors is an integer number (265326768).

Almost surely, 211240100300 is an apocalyptic number.

11240100300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240100300 is an abundant number, since it is smaller than the sum of its proper divisors (26966954292).

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

11240100300 is a wasteful number, since it uses less digits than its factorization.

11240100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262048 (or 262041 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11240100300 its reverse (300104211), we get a palindrome (11540204511).

The spelling of 11240100300 in words is "eleven billion, two hundred forty million, one hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1300 1430 1650 1716 1950 2145 2860 3300 3575 3900 4290 7150 8580 10725 14300 21450 42900 262007 524014 786021 1048028 1310035 1572042 2620070 2882077 3144084 3406091 3930105 5240140 5764154 6550175 6812182 7860210 8646231 10218273 11528308 13100350 13624364 14410385 15720420 17030455 17292462 19650525 20436546 26200700 28820770 34060910 34584924 37467001 39301050 40873092 43231155 51091365 57641540 68121820 72051925 74934002 78602100 85152275 86462310 102182730 112401003 144103850 149868004 170304550 172924620 187335005 204365460 216155775 224802006 255456825 288207700 340609100 374670010 432311550 449604012 510913650 562005015 749340020 864623100 936675025 1021827300 1124010030 1873350050 2248020060 2810025075 3746700100 5620050150 11240100300