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1102221120 = 2635711133137
BaseRepresentation
bin100000110110010…
…1000111101000000
32211211000122010110
41001230220331000
54224132033440
6301212231320
736212503440
oct10154507500
92754018113
101102221120
115161a2050
1226916b540
1314747a960
14a655a120
1566b74080
hex41b28f40

1102221120 has 896 divisors, whose sum is σ = 4981358592. Its totient is φ = 199065600.

The previous prime is 1102221119. The next prime is 1102221143. The reversal of 1102221120 is 211222011.

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

It is a junction number, because it is equal to n+sod(n) for n = 1102221096 and 1102221105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29789742 + ... + 29789778.

It is an arithmetic number, because the mean of its divisors is an integer number (5559552).

Almost surely, 21102221120 is an apocalyptic number.

1102221120 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 1102221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490679296).

1102221120 is an abundant number, since it is smaller than the sum of its proper divisors (3879137472).

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

1102221120 is a wasteful number, since it uses less digits than its factorization.

1102221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1102221120 is about 33199.7156614330. The cubic root of 1102221120 is about 1032.9744416744.

Adding to 1102221120 its reverse (211222011), we get a palindrome (1313443131).

It can be divided in two parts, 1102 and 221120, that added together give a palindrome (222222).

The spelling of 1102221120 in words is "one billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".