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103002312 = 2337287587
BaseRepresentation
bin1100010001110…
…11000011001000
321011211001121110
412020323003020
5202332033222
614115410320
72360335200
oct610730310
9234731543
10103002312
1153162186
122a5b39a0
131845521a
14d973400
15909930c
hex623b0c8

103002312 has 48 divisors (see below), whose sum is σ = 299550960. Its totient is φ = 29428896.

The previous prime is 103002311. The next prime is 103002313. The reversal of 103002312 is 213200301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103002311) and next prime (103002313).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (103002311) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42618 + ... + 44969.

It is an arithmetic number, because the mean of its divisors is an integer number (6240645).

Almost surely, 2103002312 is an apocalyptic number.

103002312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103002312 is an abundant number, since it is smaller than the sum of its proper divisors (196548648).

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

103002312 is a wasteful number, since it uses less digits than its factorization.

103002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87610 (or 87599 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103002312 is about 10149.0054685176. The cubic root of 103002312 is about 468.7583220567.

Adding to 103002312 its reverse (213200301), we get a palindrome (316202613).

The spelling of 103002312 in words is "one hundred three million, two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 87587 175174 262761 350348 525522 613109 700696 1051044 1226218 1839327 2102088 2452436 3678654 4291763 4904872 7357308 8583526 12875289 14714616 17167052 25750578 34334104 51501156 103002312