Search a number
-
+
103114100 = 22521031141
BaseRepresentation
bin1100010010101…
…10010101110100
321012000201221202
412021112111310
5202344122400
614122032032
72361312125
oct611262564
9235021852
10103114100
1153229171
122a648618
131849407b
14d9a204c
1590bc4d5
hex6256574

103114100 has 18 divisors (see below), whose sum is σ = 223757814. Its totient is φ = 41245600.

The previous prime is 103114093. The next prime is 103114103. The reversal of 103114100 is 1411301.

It can be written as a sum of positive squares in 3 ways, for example, as 5262436 + 97851664 = 2294^2 + 9892^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103114103) 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 5 ways as a sum of consecutive naturals, for example, 515471 + ... + 515670.

Almost surely, 2103114100 is an apocalyptic number.

103114100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103114100 is an abundant number, since it is smaller than the sum of its proper divisors (120643714).

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

103114100 is a wasteful number, since it uses less digits than its factorization.

103114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031155 (or 1031148 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 103114100 is about 10154.5113127122. The cubic root of 103114100 is about 468.9278412602.

Adding to 103114100 its reverse (1411301), we get a palindrome (104525401).

The spelling of 103114100 in words is "one hundred three million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1031141 2062282 4124564 5155705 10311410 20622820 25778525 51557050 103114100