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103002116 = 227217191627
BaseRepresentation
bin1100010001110…
…11000000000100
321011211001100012
412020323000010
5202332031431
614115405352
72360334500
oct610730004
9234731305
10103002116
1153162018
122a5b3858
13184550c9
14d973300
15909922b
hex623b004

103002116 has 72 divisors (see below), whose sum is σ = 233845920. Its totient is φ = 39336192.

The previous prime is 103002091. The next prime is 103002121. The reversal of 103002116 is 611200301.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 103002116.

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, 62495 + ... + 64121.

It is an arithmetic number, because the mean of its divisors is an integer number (3247860).

Almost surely, 2103002116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103002116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116922960).

103002116 is an abundant number, since it is smaller than the sum of its proper divisors (130843804).

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

103002116 is a wasteful number, since it uses less digits than its factorization.

103002116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 103002116 is about 10148.9958123944. The cubic root of 103002116 is about 468.7580247278.

Adding to 103002116 its reverse (611200301), we get a palindrome (714202417).

The spelling of 103002116 in words is "one hundred three million, two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 19 28 34 38 49 68 76 98 119 133 196 238 266 323 476 532 646 833 931 1292 1627 1666 1862 2261 3254 3332 3724 4522 6508 9044 11389 15827 22778 27659 30913 31654 45556 55318 61826 63308 79723 110636 123652 159446 193613 216391 318892 387226 432782 525521 774452 865564 1051042 1355291 1514737 2102084 2710582 3029474 3678647 5421164 6058948 7357294 14714588 25750529 51501058 103002116