Search a number
-
+
103103400 = 23352227757
BaseRepresentation
bin1100010010100…
…11101110101000
321012000012021110
412021103232220
5202343302100
614121510320
72361236001
oct611235650
9235005243
10103103400
1153221124
122a6423a0
131848c23a
14d99c1a8
1590b9250
hex6253ba8

103103400 has 96 divisors (see below), whose sum is σ = 321452640. Its totient is φ = 27336960.

The previous prime is 103103393. The next prime is 103103401. The reversal of 103103400 is 4301301.

It is a super-2 number, since 2×1031034002 = 21260622183120000, which contains 22 as substring.

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 (103103401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 135822 + ... + 136578.

It is an arithmetic number, because the mean of its divisors is an integer number (3348465).

Almost surely, 2103103400 is an apocalyptic number.

103103400 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 103103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160726320).

103103400 is an abundant number, since it is smaller than the sum of its proper divisors (218349240).

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

103103400 is a wasteful number, since it uses less digits than its factorization.

103103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 994 counting only the distinct ones).

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

The square root of 103103400 is about 10153.9844396178. The cubic root of 103103400 is about 468.9116207127.

Adding to 103103400 its reverse (4301301), we get a palindrome (107404701).

The spelling of 103103400 in words is "one hundred three million, one hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 227 300 454 600 681 757 908 1135 1362 1514 1816 2270 2271 2724 3028 3405 3785 4540 4542 5448 5675 6056 6810 7570 9080 9084 11350 11355 13620 15140 17025 18168 18925 22700 22710 27240 30280 34050 37850 45400 45420 56775 68100 75700 90840 113550 136200 151400 171839 227100 343678 454200 515517 687356 859195 1031034 1374712 1718390 2062068 2577585 3436780 4124136 4295975 5155170 6873560 8591950 10310340 12887925 17183900 20620680 25775850 34367800 51551700 103103400