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103000302 = 23323127653
BaseRepresentation
bin1100010001110…
…10100011101110
321011210221212000
412020322203232
5202332002202
614115353130
72360326266
oct610724356
9234727760
10103000302
1153160719
122a5b27a6
1318454332
14d9727a6
15909891c
hex623a8ee

103000302 has 64 divisors (see below), whose sum is σ = 241090560. Its totient is φ = 32532192.

The previous prime is 103000301. The next prime is 103000319. The reversal of 103000302 is 203000301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103000301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157408 + ... + 158060.

It is an arithmetic number, because the mean of its divisors is an integer number (3767040).

Almost surely, 2103000302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103000302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120545280).

103000302 is an abundant number, since it is smaller than the sum of its proper divisors (138090258).

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

103000302 is a wasteful number, since it uses less digits than its factorization.

103000302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 103000302 is about 10148.9064435534. The cubic root of 103000302 is about 468.7552729007.

Adding to 103000302 its reverse (203000301), we get a palindrome (306000603).

Subtracting 103000302 from its reverse (203000301), we obtain a palindrome (99999999).

The spelling of 103000302 in words is "one hundred three million, three hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 23 27 46 54 69 127 138 207 254 381 414 621 653 762 1143 1242 1306 1959 2286 2921 3429 3918 5842 5877 6858 8763 11754 15019 17526 17631 26289 30038 35262 45057 52578 78867 82931 90114 135171 157734 165862 248793 270342 405513 497586 746379 811026 1492758 1907413 2239137 3814826 4478274 5722239 11444478 17166717 34333434 51500151 103000302