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11000011212 = 22325910494937
BaseRepresentation
bin10100011111010011…
…01101100111001100
31001101121110110121200
422033221231213030
5140012000324322
65015304225500
7536406360351
oct121751554714
931347413550
1011000011212
114735246263
12216ba6b290
131063c2c798
14764cb4628
15445a928ac
hex28fa6d9cc

11000011212 has 72 divisors (see below), whose sum is σ = 28309554000. Its totient is φ = 3600357888.

The previous prime is 11000011207. The next prime is 11000011213. The reversal of 11000011212 is 21211000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000011194 and 11000011203.

It is not an unprimeable number, because it can be changed into a prime (11000011213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2225608 + ... + 2230544.

It is an arithmetic number, because the mean of its divisors is an integer number (393188250).

Almost surely, 211000011212 is an apocalyptic number.

11000011212 is a gapful number since it is divisible by the number (12) 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 11000011212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14154777000).

11000011212 is an abundant number, since it is smaller than the sum of its proper divisors (17309542788).

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

11000011212 is a wasteful number, since it uses less digits than its factorization.

11000011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6055 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000011212 its reverse (21211000011), we get a palindrome (32211011223).

It can be divided in two parts, 11000011 and 212, that multiplied together give a palindrome (2332002332).

The spelling of 11000011212 in words is "eleven billion, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1049 1062 2098 2124 3147 4196 4937 6294 9441 9874 12588 14811 18882 19748 29622 37764 44433 59244 61891 88866 123782 177732 185673 247564 291283 371346 557019 582566 742692 873849 1114038 1165132 1747698 2228076 2621547 3495396 5178913 5243094 10357826 10486188 15536739 20715652 31073478 46610217 62146956 93220434 186440868 305555867 611111734 916667601 1222223468 1833335202 2750002803 3666670404 5500005606 11000011212