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1102220020 = 2251119457577
BaseRepresentation
bin100000110110010…
…1000101011110100
32211211000120121201
41001230220223310
54224132020040
6301212222244
736212500306
oct10154505364
92754016551
101102220020
115161a1240
1226916a984
1314747a2c5
14a6559976
1566b73a9a
hex41b28af4

1102220020 has 96 divisors (see below), whose sum is σ = 2668417920. Its totient is φ = 378224640.

The previous prime is 1102220003. The next prime is 1102220027. The reversal of 1102220020 is 200222011.

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 = 1102219979 and 1102220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102220027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909972 + ... + 1910548.

It is an arithmetic number, because the mean of its divisors is an integer number (27796020).

Almost surely, 21102220020 is an apocalyptic number.

1102220020 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 1102220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334208960).

1102220020 is an abundant number, since it is smaller than the sum of its proper divisors (1566197900).

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

1102220020 is a wasteful number, since it uses less digits than its factorization.

1102220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1071 counting only the distinct ones).

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

The square root of 1102220020 is about 33199.6990950219. The cubic root of 1102220020 is about 1032.9740980433.

Adding to 1102220020 its reverse (200222011), we get a palindrome (1302442031).

It can be divided in two parts, 1102 and 220020, that added together give a palindrome (221122).

The spelling of 1102220020 in words is "one billion, one hundred two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 457 577 836 914 1045 1154 1828 2090 2285 2308 2885 4180 4570 5027 5770 6347 8683 9140 10054 10963 11540 12694 17366 20108 21926 25135 25388 31735 34732 43415 43852 50270 54815 63470 86830 95513 100540 109630 120593 126940 173660 191026 219260 241186 263689 382052 477565 482372 527378 602965 955130 1054756 1205930 1318445 1910260 2411860 2636890 2900579 5010091 5273780 5801158 10020182 11602316 14502895 20040364 25050455 29005790 50100910 55111001 58011580 100201820 110222002 220444004 275555005 551110010 1102220020