Search a number
-
+
1103405010 = 2353110311519
BaseRepresentation
bin100000111000100…
…1001111111010010
32211220020210010020
41001301021333102
54224432430020
6301253444310
736225534141
oct10161117722
92756223106
101103405010
11516930574
12269640696
131477a3796
14a6787758
1566d09c40
hex41c49fd2

1103405010 has 64 divisors (see below), whose sum is σ = 2760376320. Its totient is φ = 281960640.

The previous prime is 1103404957. The next prime is 1103405011. The reversal of 1103405010 is 105043011.

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

It is not an unprimeable number, because it can be changed into a prime (1103405011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90031 + ... + 101549.

It is an arithmetic number, because the mean of its divisors is an integer number (43130880).

Almost surely, 21103405010 is an apocalyptic number.

1103405010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103405010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380188160).

1103405010 is an abundant number, since it is smaller than the sum of its proper divisors (1656971310).

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

1103405010 is a wasteful number, since it uses less digits than its factorization.

1103405010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11663.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1103405010 is about 33217.5406976495. The cubic root of 1103405010 is about 1033.3441468402.

Adding to 1103405010 its reverse (105043011), we get a palindrome (1208448021).

The spelling of 1103405010 in words is "one billion, one hundred three million, four hundred five thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 103 155 186 206 309 310 465 515 618 930 1030 1545 3090 3193 6386 9579 11519 15965 19158 23038 31930 34557 47895 57595 69114 95790 115190 172785 345570 357089 714178 1071267 1186457 1785445 2142534 2372914 3559371 3570890 5356335 5932285 7118742 10712670 11864570 17796855 35593710 36780167 73560334 110340501 183900835 220681002 367801670 551702505 1103405010