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11011121212 = 22713415313921
BaseRepresentation
bin10100100000101000…
…00110000000111100
31001102101100220200011
422100110012000330
5140022321334322
65020342313004
7536602662130
oct122024060074
931371326604
1011011121212
114740544383
122173728764
13106631c650
147665673c0
15446a39677
hex29050603c

11011121212 has 96 divisors (see below), whose sum is σ = 24754875264. Its totient is φ = 4169318400.

The previous prime is 11011121201. The next prime is 11011121237. The reversal of 11011121212 is 21212111011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11011121192 and 11011121201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784012 + ... + 797932.

It is an arithmetic number, because the mean of its divisors is an integer number (257863284).

Almost surely, 211011121212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12377437632).

11011121212 is an abundant number, since it is smaller than the sum of its proper divisors (13743754052).

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

11011121212 is a wasteful number, since it uses less digits than its factorization.

11011121212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14039 (or 14037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11011121212 its reverse (21212111011), we get a palindrome (32223232223).

The spelling of 11011121212 in words is "eleven billion, eleven million, one hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 41 52 53 82 91 106 164 182 212 287 364 371 533 574 689 742 1066 1148 1378 1484 2132 2173 2756 3731 4346 4823 7462 8692 9646 13921 14924 15211 19292 27842 28249 30422 55684 56498 60844 97447 112996 180973 194894 197743 361946 389788 395486 570761 723892 737813 790972 1141522 1266811 1475626 2283044 2533622 2951252 3995327 5067244 5164691 7419893 7990654 9591569 10329382 14839786 15981308 19183138 20658764 29679572 30250333 38366276 51939251 60500666 67140983 103878502 121001332 134281966 207757004 211752331 268563932 393254329 423504662 786508658 847009324 1573017316 2752780303 5505560606 11011121212