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11121210 = 2325294261
BaseRepresentation
bin101010011011…
…001000111010
3202221000102200
4222123020322
510321334320
61034211030
7163346232
oct52331072
922830380
1011121210
116306591
123883a76
1323c4cc9
141696cc2
15e9a290
hexa9b23a

11121210 has 48 divisors (see below), whose sum is σ = 29919240. Its totient is φ = 2862720.

The previous prime is 11121197. The next prime is 11121217. The reversal of 11121210 is 1212111.

It is a happy number.

11121210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10870209 + 251001 = 3297^2 + 501^2 .

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 = 11121192 and 11121201.

It is not an unprimeable number, because it can be changed into a prime (11121217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480 + ... + 4740.

Almost surely, 211121210 is an apocalyptic number.

11121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14959620).

11121210 is an abundant number, since it is smaller than the sum of its proper divisors (18798030).

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

11121210 is a wasteful number, since it uses less digits than its factorization.

11121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303 (or 4300 counting only the distinct ones).

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

The square root of 11121210 is about 3334.8478226150. The cubic root of 11121210 is about 223.2119015121.

Adding to 11121210 its reverse (1212111), we get a palindrome (12333321).

Subtracting from 11121210 its reverse (1212111), we obtain a palindrome (9909099).

It can be divided in two parts, 111 and 21210, that added together give a triangular number (21321 = T206).

The spelling of 11121210 in words is "eleven million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 4261 8522 12783 21305 25566 38349 42610 63915 76698 123569 127830 191745 247138 370707 383490 617845 741414 1112121 1235690 1853535 2224242 3707070 5560605 11121210