Search a number
-
+
1101220220 = 2251723532657
BaseRepresentation
bin100000110100011…
…0100100101111100
32211202010210011002
41001220310211330
54223403021340
6301134545432
736201134402
oct10150644574
92752123132
101101220220
11515679061
12268968278
131471ba1c9
14a6379472
1566a27715
hex41a3497c

1101220220 has 96 divisors (see below), whose sum is σ = 2604244608. Its totient is φ = 388923392.

The previous prime is 1101220193. The next prime is 1101220247. The reversal of 1101220220 is 220221011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1101220193) and next prime (1101220247).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413132 + ... + 415788.

It is an arithmetic number, because the mean of its divisors is an integer number (27127548).

Almost surely, 21101220220 is an apocalyptic number.

1101220220 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 1101220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302122304).

1101220220 is an abundant number, since it is smaller than the sum of its proper divisors (1503024388).

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

1101220220 is a wasteful number, since it uses less digits than its factorization.

1101220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1101220220 is about 33184.6383135330. The cubic root of 1101220220 is about 1032.6616740539.

Adding to 1101220220 its reverse (220221011), we get a palindrome (1321441231).

The spelling of 1101220220 in words is "one billion, one hundred one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 53 68 85 92 106 115 170 212 230 265 340 391 460 530 782 901 1060 1219 1564 1802 1955 2438 2657 3604 3910 4505 4876 5314 6095 7820 9010 10628 12190 13285 18020 20723 24380 26570 41446 45169 53140 61111 82892 90338 103615 122222 140821 180676 207230 225845 244444 281642 305555 414460 451690 563284 611110 704105 903380 1038887 1222220 1408210 2077774 2393957 2816420 3238883 4155548 4787914 5194435 6477766 9575828 10388870 11969785 12955532 16194415 20777740 23939570 32388830 47879140 55061011 64777660 110122022 220244044 275305055 550610110 1101220220