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11342100 = 22352711491
BaseRepresentation
bin101011010001…
…000100010100
3210100020102210
4223101010110
510400421400
61043033420
7165256230
oct53210424
923306383
1011342100
116447540
12396b870
132471703
1417135c0
15ee0950
hexad1114

11342100 has 144 divisors (see below), whose sum is σ = 40997376. Its totient is φ = 2352000.

The previous prime is 11342057. The next prime is 11342119. The reversal of 11342100 is 124311.

It is a happy number.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22855 + ... + 23345.

It is an arithmetic number, because the mean of its divisors is an integer number (284704).

Almost surely, 211342100 is an apocalyptic number.

11342100 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 11342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498688).

11342100 is an abundant number, since it is smaller than the sum of its proper divisors (29655276).

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

11342100 is a wasteful number, since it uses less digits than its factorization.

11342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 519 counting only the distinct ones).

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

The square root of 11342100 is about 3367.8034384447. The cubic root of 11342100 is about 224.6800390428.

Adding to 11342100 its reverse (124311), we get a palindrome (11466411).

The spelling of 11342100 in words is "eleven million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 491 525 550 660 700 770 825 924 982 1050 1100 1155 1473 1540 1650 1925 1964 2100 2310 2455 2946 3300 3437 3850 4620 4910 5401 5775 5892 6874 7365 7700 9820 10311 10802 11550 12275 13748 14730 16203 17185 20622 21604 23100 24550 27005 29460 32406 34370 36825 37807 41244 49100 51555 54010 64812 68740 73650 75614 81015 85925 103110 108020 113421 135025 147300 151228 162030 171850 189035 206220 226842 257775 270050 324060 343700 378070 405075 453684 515550 540100 567105 756140 810150 945175 1031100 1134210 1620300 1890350 2268420 2835525 3780700 5671050 11342100