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1100242000 = 245311133847
BaseRepresentation
bin100000110010100…
…0101110001010000
32211200022002021201
41001211011301100
54223130221000
6301102000544
736156621424
oct10145056120
92750262251
101100242000
11515070110
12268576154
13146c36b90
14a61a2b84
15668d296a
hex41945c50

1100242000 has 160 divisors (see below), whose sum is σ = 3126299904. Its totient is φ = 369216000.

The previous prime is 1100241959. The next prime is 1100242001. The reversal of 1100242000 is 2420011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100242001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284077 + ... + 287923.

Almost surely, 21100242000 is an apocalyptic number.

1100242000 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 1100242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563149952).

1100242000 is an abundant number, since it is smaller than the sum of its proper divisors (2026057904).

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

1100242000 is a wasteful number, since it uses less digits than its factorization.

1100242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1100242000 is about 33169.8959901897. The cubic root of 1100242000 is about 1032.3558104475.

Adding to 1100242000 its reverse (2420011), we get a palindrome (1102662011).

It can be divided in two parts, 1 and 100242000, that added together give a palindrome (100242001).

The spelling of 1100242000 in words is "one billion, one hundred million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 125 130 143 176 200 208 220 250 260 275 286 325 400 440 500 520 550 572 650 715 880 1000 1040 1100 1144 1300 1375 1430 1625 2000 2200 2288 2600 2750 2860 3250 3575 3847 4400 5200 5500 5720 6500 7150 7694 11000 11440 13000 14300 15388 17875 19235 22000 26000 28600 30776 35750 38470 42317 50011 57200 61552 71500 76940 84634 96175 100022 143000 153880 169268 192350 200044 211585 250055 286000 307760 338536 384700 400088 423170 480875 500110 550121 677072 769400 800176 846340 961750 1000220 1057925 1100242 1250275 1538800 1692680 1923500 2000440 2115850 2200484 2500550 2750605 3385360 3847000 4000880 4231700 4400968 5001100 5289625 5501210 6251375 7694000 8463400 8801936 10002200 10579250 11002420 12502750 13753025 16926800 20004400 21158500 22004840 25005500 27506050 42317000 44009680 50011000 55012100 68765125 84634000 100022000 110024200 137530250 220048400 275060500 550121000 1100242000