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103116180 = 223510915767
BaseRepresentation
bin1100010010101…
…10110110010100
321012000211210210
412021112312110
5202344204210
614122045420
72361321156
oct611266624
9235024723
10103116180
115322a792
122a649870
1318494cbb
14d9a2ad6
1590bce20
hex6256d94

103116180 has 48 divisors (see below), whose sum is σ = 291392640. Its totient is φ = 27243648.

The previous prime is 103116121. The next prime is 103116197. The reversal of 103116180 is 81611301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344 + ... + 14423.

It is an arithmetic number, because the mean of its divisors is an integer number (6070680).

Almost surely, 2103116180 is an apocalyptic number.

103116180 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 103116180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145696320).

103116180 is an abundant number, since it is smaller than the sum of its proper divisors (188276460).

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

103116180 is a wasteful number, since it uses less digits than its factorization.

103116180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15888 (or 15886 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 103116180 is about 10154.6137297290. The cubic root of 103116180 is about 468.9309942831.

Adding to 103116180 its reverse (81611301), we get a palindrome (184727481).

The spelling of 103116180 in words is "one hundred three million, one hundred sixteen thousand, one 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 15767 31534 47301 63068 78835 94602 157670 189204 236505 315340 473010 946020 1718603 3437206 5155809 6874412 8593015 10311618 17186030 20623236 25779045 34372060 51558090 103116180