Search a number
-
+
10103310 = 2325722979
BaseRepresentation
bin100110100010…
…101000001110
3201000022010200
4212202220032
510041301220
61000314330
7151606500
oct46425016
921008120
1010103310
115780848
1234729a6
1321298b9
1414add70
15d48890
hex9a2a0e

10103310 has 144 divisors (see below), whose sum is σ = 32011200. Its totient is φ = 2201472.

The previous prime is 10103309. The next prime is 10103311. The reversal of 10103310 is 1330101.

It is an interprime number because it is at equal distance from previous prime (10103309) and next prime (10103311).

It is a super-2 number, since 2×101033102 = 204153745912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10103292 and 10103301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127851 + ... + 127929.

It is an arithmetic number, because the mean of its divisors is an integer number (222300).

Almost surely, 210103310 is an apocalyptic number.

10103310 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 10103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005600).

10103310 is an abundant number, since it is smaller than the sum of its proper divisors (21907890).

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

10103310 is a wasteful number, since it uses less digits than its factorization.

10103310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 10103310 is about 3178.5704333867. The cubic root of 10103310 is about 216.1828441498.

Adding to 10103310 its reverse (1330101), we get a palindrome (11433411).

The spelling of 10103310 in words is "ten million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 49 58 63 70 79 87 90 98 105 126 145 147 158 174 203 210 237 245 261 290 294 315 395 406 435 441 474 490 522 553 609 630 711 735 790 870 882 1015 1106 1185 1218 1305 1421 1422 1470 1659 1827 2030 2205 2291 2370 2610 2765 2842 3045 3318 3555 3654 3871 4263 4410 4582 4977 5530 6090 6873 7105 7110 7742 8295 8526 9135 9954 11455 11613 12789 13746 14210 16037 16590 18270 19355 20619 21315 22910 23226 24885 25578 32074 34365 34839 38710 41238 42630 48111 49770 58065 63945 68730 69678 80185 96222 103095 112259 116130 127890 144333 160370 174195 206190 224518 240555 288666 336777 348390 481110 561295 673554 721665 1010331 1122590 1443330 1683885 2020662 3367770 5051655 10103310