Search a number
-
+
1122011220 = 2235112179091
BaseRepresentation
bin100001011100000…
…1000100001010100
32220012021002001010
41002320020201110
54244213324340
6303200332220
736542636511
oct10270104124
92805232033
101122011220
11526389700
12273914070
1314b5b9685
14a902c308
1568782b80
hex42e08854

1122011220 has 144 divisors (see below), whose sum is σ = 3656729664. Its totient is φ = 255974400.

The previous prime is 1122011129. The next prime is 1122011243. The reversal of 1122011220 is 221102211.

1122011220 = T6360 + T6361 + ... + T6414.

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 = 1122011196 and 1122011205.

It is a congruent number.

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, 118875 + ... + 127965.

It is an arithmetic number, because the mean of its divisors is an integer number (25393956).

Almost surely, 21122011220 is an apocalyptic number.

1122011220 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 1122011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828364832).

1122011220 is an abundant number, since it is smaller than the sum of its proper divisors (2534718444).

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

1122011220 is a wasteful number, since it uses less digits than its factorization.

1122011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9142 (or 9129 counting only the distinct ones).

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

The square root of 1122011220 is about 33496.4359298120. The cubic root of 1122011220 is about 1039.1200705562.

Adding to 1122011220 its reverse (221102211), we get a palindrome (1343113431).

Subtracting from 1122011220 its reverse (221102211), we obtain a palindrome (900909009).

The spelling of 1122011220 in words is "one billion, one hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 9091 10285 11220 12342 18182 20570 24684 27273 30855 36364 41140 45455 54546 61710 90910 100001 109092 123420 136365 154547 181820 200002 272730 300003 309094 400004 463641 500005 545460 600006 618188 772735 927282 1000010 1100011 1200012 1500015 1545470 1700017 1854564 2000020 2200022 2318205 3000030 3090940 3300033 3400034 4400044 4636410 5100051 5500055 6000060 6600066 6800068 8500085 9272820 10200102 11000110 13200132 16500165 17000170 18700187 20400204 22000220 25500255 33000330 34000340 37400374 51000510 56100561 66000660 74800748 93500935 102001020 112201122 187001870 224402244 280502805 374003740 561005610 1122011220