Search a number
-
+
1102003308 = 2232717614217
BaseRepresentation
bin100000110101111…
…0011110001101100
32211210121120100100
41001223303301230
54224103101213
6301203431100
736210605430
oct10153636154
92753546310
101102003308
1151606343a
12269085490
13147402783
14a65009c0
1566b2e773
hex41af3c6c

1102003308 has 144 divisors (see below), whose sum is σ = 3426905664. Its totient is φ = 291409920.

The previous prime is 1102003307. The next prime is 1102003327. The reversal of 1102003308 is 8033002011.

It is a super-2 number, since 2×11020033082 = 2428822581685885728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1102003307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259216 + ... + 263432.

It is an arithmetic number, because the mean of its divisors is an integer number (23797956).

Almost surely, 21102003308 is an apocalyptic number.

1102003308 is a gapful number since it is divisible by the number (18) 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 1102003308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713452832).

1102003308 is an abundant number, since it is smaller than the sum of its proper divisors (2324902356).

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

1102003308 is a wasteful number, since it uses less digits than its factorization.

1102003308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1102003308 is about 33196.4351700601. The cubic root of 1102003308 is about 1032.9063945142.

Adding to 1102003308 its reverse (8033002011), we get a palindrome (9135005319).

The spelling of 1102003308 in words is "one billion, one hundred two million, three thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 61 63 68 84 102 119 122 126 153 183 204 238 244 252 306 357 366 427 476 549 612 714 732 854 1037 1071 1098 1281 1428 1708 2074 2142 2196 2562 3111 3843 4148 4217 4284 5124 6222 7259 7686 8434 9333 12444 12651 14518 15372 16868 18666 21777 25302 29036 29519 37332 37953 43554 50604 59038 65331 71689 75906 87108 88557 118076 130662 143378 151812 177114 215067 257237 261324 265671 286756 354228 430134 501823 514474 531342 645201 771711 860268 1003646 1028948 1062684 1290402 1505469 1543422 1800659 2007292 2315133 2580804 3010938 3086844 3601318 4373029 4516407 4630266 5401977 6021876 7202636 8746058 9032814 9260532 10803954 13119087 16205931 17492116 18065628 21607908 26238174 30611203 32411862 39357261 52476348 61222406 64823724 78714522 91833609 122444812 157429044 183667218 275500827 367334436 551001654 1102003308