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10212312 = 23311101383
BaseRepresentation
bin100110111101…
…001111011000
3201012211122210
4212331033120
510103243222
61002515120
7152542335
oct46751730
921184583
1010212312
115845730
123505aa0
1321673b6
1414db98c
15d6ad0c
hex9bd3d8

10212312 has 64 divisors (see below), whose sum is σ = 28200960. Its totient is φ = 3056000.

The previous prime is 10212277. The next prime is 10212313. The reversal of 10212312 is 21321201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26473 + ... + 26855.

It is an arithmetic number, because the mean of its divisors is an integer number (440640).

Almost surely, 210212312 is an apocalyptic number.

10212312 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 10212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480).

10212312 is an abundant number, since it is smaller than the sum of its proper divisors (17988648).

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

10212312 is a wasteful number, since it uses less digits than its factorization.

10212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10212312 is about 3195.6708215960. The cubic root of 10212312 is about 216.9575118383.

Adding to 10212312 its reverse (21321201), we get a palindrome (31533513).

Subtracting 10212312 from its reverse (21321201), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1021 and 2312, that added together give a palindrome (3333).

The spelling of 10212312 in words is "ten million, two hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 383 404 606 766 808 1111 1149 1212 1532 2222 2298 2424 3064 3333 4213 4444 4596 6666 8426 8888 9192 12639 13332 16852 25278 26664 33704 38683 50556 77366 101112 116049 154732 232098 309464 425513 464196 851026 928392 1276539 1702052 2553078 3404104 5106156 10212312