Search a number
-
+
1101022020 = 2232573672381
BaseRepresentation
bin100000110100000…
…0100001101000100
32211201202201021100
41001220010031010
54223330201040
6301130420100
736166350510
oct10150041504
92751681240
101101022020
1151555315a
12268891630
1314714ac27
14a6327140
15669d8b30
hex41a04344

1101022020 has 144 divisors (see below), whose sum is σ = 3828883968. Its totient is φ = 250871040.

The previous prime is 1101021979. The next prime is 1101022049. The reversal of 1101022020 is 202201011.

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 = 1101021993 and 1101022011.

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, 461230 + ... + 463610.

It is an arithmetic number, because the mean of its divisors is an integer number (26589472).

Almost surely, 21101022020 is an apocalyptic number.

1101022020 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 1101022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914441984).

1101022020 is an abundant number, since it is smaller than the sum of its proper divisors (2727861948).

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

1101022020 is a wasteful number, since it uses less digits than its factorization.

1101022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1101022020 is about 33181.6518576155. The cubic root of 1101022020 is about 1032.5997167752.

Adding to 1101022020 its reverse (202201011), we get a palindrome (1303223031).

The spelling of 1101022020 in words is "one billion, one hundred one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 367 420 630 734 1101 1260 1468 1835 2202 2381 2569 3303 3670 4404 4762 5138 5505 6606 7143 7340 7707 9524 10276 11010 11905 12845 13212 14286 15414 16515 16667 21429 22020 23121 23810 25690 28572 30828 33030 33334 35715 38535 42858 46242 47620 50001 51380 66060 66668 71430 77070 83335 85716 92484 100002 107145 115605 142860 150003 154140 166670 200004 214290 231210 250005 300006 333340 428580 462420 500010 600012 750015 873827 1000020 1500030 1747654 2621481 3000060 3495308 4369135 5242962 6116789 7864443 8738270 10485924 12233578 13107405 15728886 17476540 18350367 24467156 26214810 30583945 31457772 36700734 39322215 52429620 55051101 61167890 73401468 78644430 91751835 110102202 122335780 157288860 183503670 220204404 275255505 367007340 550511010 1101022020