Search a number
-
+
103013320 = 23523412731
BaseRepresentation
bin1100010001111…
…01101111001000
321011211121201011
412020331233020
5202332411240
614115533304
72360412244
oct610755710
9234747634
10103013320
115316a483
122a5ba234
131845a237
14d977424
15909c6ea
hex623dbc8

103013320 has 64 divisors (see below), whose sum is σ = 247847040. Its totient is φ = 38438400.

The previous prime is 103013303. The next prime is 103013327. The reversal of 103013320 is 23310301.

It is a super-2 number, since 2×1030133202 = 21223488194844800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103013320.

It is not an unprimeable number, because it can be changed into a prime (103013327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36355 + ... + 39085.

It is an arithmetic number, because the mean of its divisors is an integer number (3872610).

Almost surely, 2103013320 is an apocalyptic number.

103013320 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 103013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123923520).

103013320 is an abundant number, since it is smaller than the sum of its proper divisors (144833720).

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

103013320 is a wasteful number, since it uses less digits than its factorization.

103013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 103013320 is about 10149.5477731769. The cubic root of 103013320 is about 468.7750204126.

Adding to 103013320 its reverse (23310301), we get a palindrome (126323621).

The spelling of 103013320 in words is "one hundred three million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 164 184 205 230 328 410 460 820 920 943 1640 1886 2731 3772 4715 5462 7544 9430 10924 13655 18860 21848 27310 37720 54620 62813 109240 111971 125626 223942 251252 314065 447884 502504 559855 628130 895768 1119710 1256260 2239420 2512520 2575333 4478840 5150666 10301332 12876665 20602664 25753330 51506660 103013320