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11202022120 = 2352367263691
BaseRepresentation
bin10100110111011000…
…10100101011101000
31001220200120200111011
422123230110223220
5140420204201440
65051322113304
7544411421422
oct123354245350
931820520434
1011202022120
114829282023
12220764b834
131096a3c173
14783a5b812
154586979ea
hex29bb14ae8

11202022120 has 128 divisors (see below), whose sum is σ = 26833213440. Its totient is φ = 4199880960.

The previous prime is 11202022087. The next prime is 11202022121. The reversal of 11202022120 is 2122020211.

It is a happy number.

11202022120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11202022120.

It is not an unprimeable number, because it can be changed into a prime (11202022121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16210975 + ... + 16211665.

It is an arithmetic number, because the mean of its divisors is an integer number (209634480).

Almost surely, 211202022120 is an apocalyptic number.

11202022120 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 11202022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416606720).

11202022120 is an abundant number, since it is smaller than the sum of its proper divisors (15631191320).

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

11202022120 is a wasteful number, since it uses less digits than its factorization.

11202022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11202022120 its reverse (2122020211), we get a palindrome (13324042331).

The spelling of 11202022120 in words is "eleven billion, two hundred two million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 67 92 115 134 184 230 263 268 335 460 526 536 670 691 920 1052 1315 1340 1382 1541 2104 2630 2680 2764 3082 3455 5260 5528 6049 6164 6910 7705 10520 12098 12328 13820 15410 15893 17621 24196 27640 30245 30820 31786 35242 46297 48392 60490 61640 63572 70484 79465 88105 92594 120980 127144 140968 158930 176210 181733 185188 231485 241960 317860 352420 363466 370376 405283 462970 635720 704840 726932 810566 908665 925940 1064831 1453864 1621132 1817330 1851880 2026415 2129662 3242264 3634660 4052830 4179859 4259324 5324155 7269320 8105660 8359718 8518648 10648310 12176111 16211320 16719436 20899295 21296620 24352222 33438872 41798590 42593240 48704444 60880555 83597180 97408888 121761110 167194360 243522220 280050553 487044440 560101106 1120202212 1400252765 2240404424 2800505530 5601011060 11202022120