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103016430 = 232511176121
BaseRepresentation
bin1100010001111…
…10011111101110
321011211202222100
412020332133232
5202333011210
614115555530
72360424306
oct610763756
9234752870
10103016430
1153171850
122a5bbba6
131845b78a
14d978606
15909d5c0
hex623e7ee

103016430 has 96 divisors (see below), whose sum is σ = 309430368. Its totient is φ = 23500800.

The previous prime is 103016401. The next prime is 103016437. The reversal of 103016430 is 34610301.

It is a super-2 number, since 2×1030164302 = 21224769699889800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103016437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13770 + ... + 19890.

It is an arithmetic number, because the mean of its divisors is an integer number (3223233).

Almost surely, 2103016430 is an apocalyptic number.

103016430 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 103016430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154715184).

103016430 is an abundant number, since it is smaller than the sum of its proper divisors (206413938).

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

103016430 is a wasteful number, since it uses less digits than its factorization.

103016430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162 (or 6159 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103016430 is about 10149.7009808171. The cubic root of 103016430 is about 468.7797378467.

Adding to 103016430 its reverse (34610301), we get a palindrome (137626731).

The spelling of 103016430 in words is "one hundred three million, sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1122 1530 1683 1870 2805 3366 5610 6121 8415 12242 16830 18363 30605 36726 55089 61210 67331 91815 104057 110178 134662 183630 201993 208114 275445 312171 336655 403986 520285 550890 605979 624342 673310 936513 1009965 1040570 1144627 1211958 1560855 1873026 2019930 2289254 3029895 3121710 3433881 4682565 5723135 6059790 6867762 9365130 10301643 11446270 17169405 20603286 34338810 51508215 103016430