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11022011220 = 22351121179147
BaseRepresentation
bin10100100001111011…
…01000101101010100
31001110010212011221210
422100331220231110
5140033113324340
65021411541420
7540064356333
oct122075505524
931403764853
1011022011220
114746702190
1221772ba870
13106866333c
14767b9dd1a
1544798b180
hex290f68b54

11022011220 has 96 divisors (see below), whose sum is σ = 33827222016. Its totient is φ = 2659305600.

The previous prime is 11022011213. The next prime is 11022011233. The reversal of 11022011220 is 2211022011.

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 = 11022011196 and 11022011205.

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, 99687 + ... + 178833.

It is an arithmetic number, because the mean of its divisors is an integer number (352366896).

Almost surely, 211022011220 is an apocalyptic number.

11022011220 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 11022011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16913611008).

11022011220 is an abundant number, since it is smaller than the sum of its proper divisors (22805210796).

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

11022011220 is a wasteful number, since it uses less digits than its factorization.

11022011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79381 (or 79379 counting only the distinct ones).

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

Adding to 11022011220 its reverse (2211022011), we get a palindrome (13233033231).

The spelling of 11022011220 in words is "eleven billion, twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 211 220 330 422 633 660 844 1055 1266 2110 2321 2532 3165 4220 4642 6330 6963 9284 11605 12660 13926 23210 27852 34815 46420 69630 79147 139260 158294 237441 316588 395735 474882 791470 870617 949764 1187205 1582940 1741234 2374410 2611851 3482468 4353085 4748820 5223702 8706170 10447404 13059255 16700017 17412340 26118510 33400034 50100051 52237020 66800068 83500085 100200102 167000170 183700187 200400204 250500255 334000340 367400374 501000510 551100561 734800748 918500935 1002001020 1102201122 1837001870 2204402244 2755502805 3674003740 5511005610 11022011220