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11010312 = 2332374133
BaseRepresentation
bin101010000000…
…000100001000
3202201101022100
4222000010020
510304312222
61031553400
7162405015
oct52000410
922641270
1011010312
116240235
12382b860
1323866a1
14166870c
15e774ac
hexa80108

11010312 has 48 divisors (see below), whose sum is σ = 30632940. Its totient is φ = 3570048.

The previous prime is 11010299. The next prime is 11010323. The reversal of 11010312 is 21301011.

It can be written as a sum of positive squares in 2 ways, for example, as 9696996 + 1313316 = 3114^2 + 1146^2 .

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 = 11010294 and 11010303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598 + ... + 4730.

Almost surely, 211010312 is an apocalyptic number.

11010312 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 11010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15316470).

11010312 is an abundant number, since it is smaller than the sum of its proper divisors (19622628).

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

11010312 is a wasteful number, since it uses less digits than its factorization.

11010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11010312 is about 3318.1790186788. The cubic root of 11010312 is about 222.4674833599.

Adding to 11010312 its reverse (21301011), we get a palindrome (32311323).

The spelling of 11010312 in words is "eleven million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 4133 8266 12399 16532 24798 33064 37197 49596 74394 99192 148788 152921 297576 305842 458763 611684 917526 1223368 1376289 1835052 2752578 3670104 5505156 11010312