Search a number
-
+
1103013120 = 28351126113
BaseRepresentation
bin100000110111110…
…1010010100000000
32211212111212112210
41001233222110000
54224332404440
6301241222120
736222312456
oct10157522400
92755455483
101103013120
115166930a0
12269491940
131476972b1
14a66c49d6
1566c7da80
hex41bea500

1103013120 has 144 divisors (see below), whose sum is σ = 3843145152. Its totient is φ = 267386880.

The previous prime is 1103013101. The next prime is 1103013127. The reversal of 1103013120 is 213103011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1103013096 and 1103013105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103013127) 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, 29184 + ... + 55296.

It is an arithmetic number, because the mean of its divisors is an integer number (26688508).

Almost surely, 21103013120 is an apocalyptic number.

1103013120 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 1103013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921572576).

1103013120 is an abundant number, since it is smaller than the sum of its proper divisors (2740132032).

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

1103013120 is a wasteful number, since it uses less digits than its factorization.

1103013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26148 (or 26134 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1103013120 is about 33211.6413325207. The cubic root of 1103013120 is about 1033.2217967253.

Adding to 1103013120 its reverse (213103011), we get a palindrome (1316116131).

The spelling of 1103013120 in words is "one billion, one hundred three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 26113 42240 52226 78339 104452 130565 156678 208904 261130 287243 313356 391695 417808 522260 574486 626712 783390 835616 861729 1044520 1148972 1253424 1436215 1566780 1671232 1723458 2089040 2297944 2506848 2872430 3133560 3342464 3446916 4178080 4308645 4595888 5013696 5744860 6267120 6684928 6893832 8356160 8617290 9191776 10027392 11489720 12534240 13787664 16712320 17234580 18383552 20054784 22979440 25068480 27575328 33424640 34469160 36767104 45958880 50136960 55150656 68938320 73534208 91917760 100273920 110301312 137876640 183835520 220602624 275753280 367671040 551506560 1103013120