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103341320 = 23541611033
BaseRepresentation
bin1100010100011…
…01110100001000
321012110021122022
412022031310020
5202423410240
614130544012
72363246435
oct612156410
9235407568
10103341320
1153373955
122a738008
1318543614
14da20b8c
1591149b5
hex628dd08

103341320 has 64 divisors (see below), whose sum is σ = 242328240. Its totient is φ = 39628800.

The previous prime is 103341319. The next prime is 103341331. The reversal of 103341320 is 23143301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17926756 + 85414564 = 4234^2 + 9242^2 .

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 15 ways as a sum of consecutive naturals, for example, 99524 + ... + 100556.

Almost surely, 2103341320 is an apocalyptic number.

103341320 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 103341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121164120).

103341320 is an abundant number, since it is smaller than the sum of its proper divisors (138986920).

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

103341320 is a wasteful number, since it uses less digits than its factorization.

103341320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 103341320 is about 10165.6932867365. The cubic root of 103341320 is about 469.2720283182.

Adding to 103341320 its reverse (23143301), we get a palindrome (126484621).

The spelling of 103341320 in words is "one hundred three million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 61 82 122 164 205 244 305 328 410 488 610 820 1033 1220 1640 2066 2440 2501 4132 5002 5165 8264 10004 10330 12505 20008 20660 25010 41320 42353 50020 63013 84706 100040 126026 169412 211765 252052 315065 338824 423530 504104 630130 847060 1260260 1694120 2520520 2583533 5167066 10334132 12917665 20668264 25835330 51670660 103341320