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103730130 = 23257229719
BaseRepresentation
bin1100010111011…
…00101111010010
321020012000222200
412023230233102
5203023331010
614143144030
72366456130
oct613545722
9236160880
10103730130
1153609a89
122a8a5016
131864b59a
14dac2750
15918ecc0
hex62ecbd2

103730130 has 96 divisors (see below), whose sum is σ = 310003200. Its totient is φ = 23573376.

The previous prime is 103730119. The next prime is 103730149. The reversal of 103730130 is 31037301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143911 + ... + 144629.

It is an arithmetic number, because the mean of its divisors is an integer number (3229200).

Almost surely, 2103730130 is an apocalyptic number.

103730130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103730130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155001600).

103730130 is an abundant number, since it is smaller than the sum of its proper divisors (206273070).

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

103730130 is a wasteful number, since it uses less digits than its factorization.

103730130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 103730130 is about 10184.7989670882. The cubic root of 103730130 is about 469.8598193683.

Adding to 103730130 its reverse (31037301), we get a palindrome (134767431).

The spelling of 103730130 in words is "one hundred three million, seven hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 229 315 458 630 687 719 1145 1374 1438 1603 2061 2157 2290 3206 3435 3595 4122 4314 4809 5033 6471 6870 7190 8015 9618 10066 10305 10785 12942 14427 15099 16030 20610 21570 24045 25165 28854 30198 32355 45297 48090 50330 64710 72135 75495 90594 144270 150990 164651 226485 329302 452970 493953 823255 987906 1152557 1481859 1646510 2305114 2469765 2963718 3457671 4939530 5762785 6915342 7409295 10373013 11525570 14818590 17288355 20746026 34576710 51865065 103730130