Search a number
-
+
103013300 = 22521379241
BaseRepresentation
bin1100010001111…
…01101110110100
321011211121200102
412020331232310
5202332411200
614115533232
72360412215
oct610755664
9234747612
10103013300
115316a465
122a5ba218
131845a220
14d97740c
15909c6d5
hex623dbb4

103013300 has 36 divisors (see below), whose sum is σ = 240737196. Its totient is φ = 38035200.

The previous prime is 103013263. The next prime is 103013303. The reversal of 103013300 is 3310301.

It can be written as a sum of positive squares in 6 ways, for example, as 234256 + 102779044 = 484^2 + 10138^2 .

It is a super-2 number, since 2×1030133002 = 21223479953780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103013303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38321 + ... + 40920.

Almost surely, 2103013300 is an apocalyptic number.

103013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103013300 is an abundant number, since it is smaller than the sum of its proper divisors (137723896).

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

103013300 is a wasteful number, since it uses less digits than its factorization.

103013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79268 (or 79261 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 103013300 is about 10149.5467879113. The cubic root of 103013300 is about 468.7749900751.

Adding to 103013300 its reverse (3310301), we get a palindrome (106323601).

The spelling of 103013300 in words is "one hundred three million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 79241 158482 316964 396205 792410 1030133 1584820 1981025 2060266 3962050 4120532 5150665 7924100 10301330 20602660 25753325 51506650 103013300