Search a number
-
+
103144020 = 22357235083
BaseRepresentation
bin1100010010111…
…01101001010100
321012002020222220
412021131221110
5202401102040
614122422340
72361465300
oct611355124
9235066886
10103144020
11532496a1
122a6619b0
13184a4885
14d9acd00
1590c62d0
hex625da54

103144020 has 72 divisors (see below), whose sum is σ = 335964384. Its totient is φ = 23575104.

The previous prime is 103144009. The next prime is 103144031. The reversal of 103144020 is 20441301.

It is an interprime number because it is at equal distance from previous prime (103144009) and next prime (103144031).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 23 ways as a sum of consecutive naturals, for example, 14602 + ... + 20481.

It is an arithmetic number, because the mean of its divisors is an integer number (4666172).

Almost surely, 2103144020 is an apocalyptic number.

103144020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103144020 is an abundant number, since it is smaller than the sum of its proper divisors (232820364).

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

103144020 is a wasteful number, since it uses less digits than its factorization.

103144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35109 (or 35100 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 103144020 is about 10155.9844426821. The cubic root of 103144020 is about 468.9731922005.

Adding to 103144020 its reverse (20441301), we get a palindrome (123585321).

The spelling of 103144020 in words is "one hundred three million, one hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 35083 70166 105249 140332 175415 210498 245581 350830 420996 491162 526245 701660 736743 982324 1052490 1227905 1473486 1719067 2104980 2455810 2946972 3438134 3683715 4911620 5157201 6876268 7367430 8595335 10314402 14734860 17190670 20628804 25786005 34381340 51572010 103144020