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11220620202 = 23311192934283
BaseRepresentation
bin10100111001100110…
…10001001110101010
31001221222120120021000
422130303101032222
5140434434321302
65053224455430
7545025461301
oct123463211652
931858516230
1011220620202
114838825040
12221191a576
13109a85144c
147862dd438
1545a11d31c
hex29ccd13aa

11220620202 has 128 divisors (see below), whose sum is σ = 29621376000. Its totient is φ = 3110063040.

The previous prime is 11220620189. The next prime is 11220620249. The reversal of 11220620202 is 20202602211.

11220620202 is a `hidden beast` number, since 1 + 1 + 2 + 20 + 620 + 20 + 2 = 666.

11220620202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 310153 + ... + 344435.

It is an arithmetic number, because the mean of its divisors is an integer number (231417000).

Almost surely, 211220620202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220620202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810688000).

11220620202 is an abundant number, since it is smaller than the sum of its proper divisors (18400755798).

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

11220620202 is a wasteful number, since it uses less digits than its factorization.

11220620202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34353 (or 34347 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 11220620202 in words is "eleven billion, two hundred twenty million, six hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 27 29 33 38 54 57 58 66 87 99 114 171 174 198 209 261 297 319 342 418 513 522 551 594 627 638 783 957 1026 1102 1254 1566 1653 1881 1914 2871 3306 3762 4959 5643 5742 6061 8613 9918 11286 12122 14877 17226 18183 29754 34283 36366 54549 68566 102849 109098 163647 205698 308547 327294 377113 617094 651377 754226 925641 994207 1131339 1302754 1851282 1954131 1988414 2262678 2982621 3394017 3908262 5862393 5965242 6788034 7165147 8947863 10182051 10936277 11724786 14330294 17587179 17895726 18889933 20364102 21495441 21872554 26843589 32808831 35174358 37779866 42990882 53687178 56669799 64486323 65617662 98426493 113339598 128972646 170009397 193458969 196852986 207789263 295279479 340018794 386917938 415578526 510028191 590558958 623367789 1020056382 1246735578 1870103367 3740206734 5610310101 11220620202