Search a number
-
+
1001102340 = 223572379203
BaseRepresentation
bin111011101010111…
…001110000000100
32120202202021020110
4323222321300010
54022240233330
6243201033020
733544141500
oct7352716004
92522667213
101001102340
11474107007
1223b325770
1312c534b64
1496d57300
155cd4cdb0
hex3bab9c04

1001102340 has 144 divisors (see below), whose sum is σ = 3349225152. Its totient is φ = 222614784.

The previous prime is 1001102339. The next prime is 1001102353. The reversal of 1001102340 is 432011001.

It is a happy number.

1001102340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104179 + ... + 113381.

It is an arithmetic number, because the mean of its divisors is an integer number (23258508).

Almost surely, 21001102340 is an apocalyptic number.

1001102340 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 1001102340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674612576).

1001102340 is an abundant number, since it is smaller than the sum of its proper divisors (2348122812).

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

1001102340 is a wasteful number, since it uses less digits than its factorization.

1001102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9266 (or 9257 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1001102340 is about 31640.2013267931. The cubic root of 1001102340 is about 1000.3673117322.

Adding to 1001102340 its reverse (432011001), we get a palindrome (1433113341).

The spelling of 1001102340 in words is "one billion, one million, one hundred two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 49 60 70 74 84 98 105 111 140 147 148 185 196 210 222 245 259 294 370 420 444 490 518 555 588 735 740 777 980 1036 1110 1295 1470 1554 1813 2220 2590 2940 3108 3626 3885 5180 5439 7252 7770 9065 9203 10878 15540 18130 18406 21756 27195 27609 36260 36812 46015 54390 55218 64421 92030 108780 110436 128842 138045 184060 193263 257684 276090 322105 340511 386526 450947 552180 644210 681022 773052 901894 966315 1021533 1288420 1352841 1362044 1702555 1803788 1932630 2043066 2254735 2383577 2705682 3405110 3865260 4086132 4509470 4767154 5107665 5411364 6764205 6810220 7150731 9018940 9534308 10215330 11917885 13528410 14301462 16685039 20430660 23835770 27056820 28602924 33370078 35753655 47671540 50055117 66740156 71507310 83425195 100110234 143014620 166850390 200220468 250275585 333700780 500551170 1001102340