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103312380 = 223510915797
BaseRepresentation
bin1100010100001…
…10101111111100
321012101210221110
412022012233330
5202421444010
614130202020
72363066163
oct612065774
9235353843
10103312380
1153354136
122a723310
13185333b2
14da143da
15910b120
hex6286bfc

103312380 has 48 divisors (see below), whose sum is σ = 291947040. Its totient is φ = 27295488.

The previous prime is 103312373. The next prime is 103312381. The reversal of 103312380 is 83213301.

It is a happy number.

It is a super-2 number, since 2×1033123802 = 21346895722528800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359 + ... + 14438.

It is an arithmetic number, because the mean of its divisors is an integer number (6082230).

Almost surely, 2103312380 is an apocalyptic number.

103312380 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 103312380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145973520).

103312380 is an abundant number, since it is smaller than the sum of its proper divisors (188634660).

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

103312380 is a wasteful number, since it uses less digits than its factorization.

103312380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15918 (or 15916 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 103312380 is about 10164.2697720987. The cubic root of 103312380 is about 469.2282187997.

Adding to 103312380 its reverse (83213301), we get a palindrome (186525681).

It can be divided in two parts, 1033123 and 80, that added together give a triangular number (1033203 = T1437).

The spelling of 103312380 in words is "one hundred three million, three hundred twelve thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 15797 31594 47391 63188 78985 94782 157970 189564 236955 315940 473910 947820 1721873 3443746 5165619 6887492 8609365 10331238 17218730 20662476 25828095 34437460 51656190 103312380