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103343100 = 22352749211
BaseRepresentation
bin1100010100011…
…10001111111100
321012110101002020
412022032033330
5202423434400
614131000140
72363254560
oct612161774
9235411066
10103343100
1153375223
122a739050
1318544383
14da216a0
1591152a0
hex628e3fc

103343100 has 72 divisors (see below), whose sum is σ = 341728128. Its totient is φ = 23620800.

The previous prime is 103343087. The next prime is 103343113. The reversal of 103343100 is 1343301.

It is an interprime number because it is at equal distance from previous prime (103343087) and next prime (103343113).

It is a super-2 number, since 2×1033431002 = 21359592635220000, 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 103343100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22506 + ... + 26705.

It is an arithmetic number, because the mean of its divisors is an integer number (4746224).

Almost surely, 2103343100 is an apocalyptic number.

103343100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103343100 is an abundant number, since it is smaller than the sum of its proper divisors (238385028).

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

103343100 is a wasteful number, since it uses less digits than its factorization.

103343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49235 (or 49228 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 103343100 is about 10165.7808357253. The cubic root of 103343100 is about 469.2747226242.

Adding to 103343100 its reverse (1343301), we get a palindrome (104686401).

The spelling of 103343100 in words is "one hundred three million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 49211 98422 147633 196844 246055 295266 344477 492110 590532 688954 738165 984220 1033431 1230275 1377908 1476330 1722385 2066862 2460550 2952660 3444770 3690825 4133724 4921100 5167155 6889540 7381650 8611925 10334310 14763300 17223850 20668620 25835775 34447700 51671550 103343100