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103342200 = 233521313249
BaseRepresentation
bin1100010100011…
…10000001111000
321012110022211220
412022032001320
5202423422300
614130552040
72363252133
oct612160170
9235408756
10103342200
1153374585
122a738620
1318543b40
14da2121a
159114da0
hex628e078

103342200 has 96 divisors (see below), whose sum is σ = 345030000. Its totient is φ = 25436160.

The previous prime is 103342199. The next prime is 103342219. The reversal of 103342200 is 2243301.

It is a super-2 number, since 2×1033422002 = 21359220601680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103342200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1176 + ... + 14424.

Almost surely, 2103342200 is an apocalyptic number.

103342200 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 103342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172515000).

103342200 is an abundant number, since it is smaller than the sum of its proper divisors (241687800).

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

103342200 is a wasteful number, since it uses less digits than its factorization.

103342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13281 (or 13272 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 103342200 is about 10165.7365694769. The cubic root of 103342200 is about 469.2733603385.

Adding to 103342200 its reverse (2243301), we get a palindrome (105585501).

The spelling of 103342200 in words is "one hundred three million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 13249 26498 39747 52996 66245 79494 105992 132490 158988 172237 198735 264980 317976 331225 344474 397470 516711 529960 662450 688948 794940 861185 993675 1033422 1324900 1377896 1589880 1722370 1987350 2066844 2583555 2649800 3444740 3974700 4133688 4305925 5167110 6889480 7949400 8611850 10334220 12917775 17223700 20668440 25835550 34447400 51671100 103342200