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1102002220 = 2251117232557
BaseRepresentation
bin100000110101111…
…0011100000101100
32211210121111212001
41001223303200230
54224103032340
6301203422044
736210602314
oct10153634054
92753544761
101102002220
11516062640
12269084924
13147402127
14a6500444
1566b2e29a
hex41af382c

1102002220 has 144 divisors (see below), whose sum is σ = 2799383328. Its totient is φ = 360110080.

The previous prime is 1102002193. The next prime is 1102002227. The reversal of 1102002220 is 222002011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1102002197 and 1102002206.

It is not an unprimeable number, because it can be changed into a prime (1102002227) 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, 1978182 + ... + 1978738.

It is an arithmetic number, because the mean of its divisors is an integer number (19440162).

Almost surely, 21102002220 is an apocalyptic number.

1102002220 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 1102002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399691664).

1102002220 is an abundant number, since it is smaller than the sum of its proper divisors (1697381108).

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

1102002220 is a wasteful number, since it uses less digits than its factorization.

1102002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1102002220 is about 33196.4187827543. The cubic root of 1102002220 is about 1032.9060545871.

Adding to 1102002220 its reverse (222002011), we get a palindrome (1324004231).

The spelling of 1102002220 in words is "one billion, one hundred two million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 529 557 748 782 935 1012 1058 1114 1265 1564 1870 1955 2116 2228 2530 2645 2785 3740 3910 4301 5060 5290 5570 5819 6127 7820 8602 8993 9469 10580 11140 11638 12254 12811 17204 17986 18938 21505 23276 24508 25622 29095 30635 35972 37876 43010 44965 47345 51244 58190 61270 64055 86020 89930 94690 98923 104159 116380 122540 128110 140921 179860 189380 197846 208318 217787 256220 281842 294653 395692 416636 435574 494615 520795 563684 589306 704605 871148 989230 1041590 1088935 1178612 1409210 1473265 1978460 2083180 2177870 2395657 2818420 2946530 3241183 4355740 4791314 5009101 5893060 6482366 9582628 10018202 11978285 12964732 16205915 20036404 23956570 25045505 32411830 47913140 50091010 55100111 64823660 100182020 110200222 220400444 275500555 551001110 1102002220