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1101223420 = 2251121134027
BaseRepresentation
bin100000110100011…
…0101010111111100
32211202010221112121
41001220311113330
54223403122140
6301135012324
736201146623
oct10150652774
92752127477
101101223420
11515680500
1226896a0a4
131471bb7bb
14a637a6ba
1566a2864a
hex41a355fc

1101223420 has 72 divisors (see below), whose sum is σ = 2565046512. Its totient is φ = 396802560.

The previous prime is 1101223411. The next prime is 1101223441. The reversal of 1101223420 is 243221011.

It is a junction number, because it is equal to n+sod(n) for n = 1101223394 and 1101223403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271447 + ... + 275473.

It is an arithmetic number, because the mean of its divisors is an integer number (35625646).

Almost surely, 21101223420 is an apocalyptic number.

1101223420 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 1101223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282523256).

1101223420 is an abundant number, since it is smaller than the sum of its proper divisors (1463823092).

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

1101223420 is a wasteful number, since it uses less digits than its factorization.

1101223420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4171 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1101223420 is about 33184.6865285782. The cubic root of 1101223420 is about 1032.6626743122.

Adding to 1101223420 its reverse (243221011), we get a palindrome (1344444431).

The spelling of 1101223420 in words is "one billion, one hundred one million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 121 220 226 242 452 484 565 605 1130 1210 1243 2260 2420 2486 4027 4972 6215 8054 12430 13673 16108 20135 24860 27346 40270 44297 54692 68365 80540 88594 136730 177188 221485 273460 442970 455051 487267 885940 910102 974534 1820204 1949068 2275255 2436335 4550510 4872670 5005561 9101020 9745340 10011122 20022244 25027805 50055610 55061171 100111220 110122342 220244684 275305855 550611710 1101223420