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1210420112 = 24112673929
BaseRepresentation
bin100100000100101…
…1000101110010000
310010100121201020112
41020021120232100
54434331420422
6320035300452
741665254416
oct11011305620
93110551215
101210420112
11571283600
1229944a728
13163a02325
14b6a832b6
15713e7ee2
hex48258b90

1210420112 has 60 divisors (see below), whose sum is σ = 2584378860. Its totient is φ = 548782080.

The previous prime is 1210420091. The next prime is 1210420117. The reversal of 1210420112 is 2110240121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 161696656 + 1048723456 = 12716^2 + 32384^2 .

It is not an unprimeable number, because it can be changed into a prime (1210420117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1302464 + ... + 1303392.

It is an arithmetic number, because the mean of its divisors is an integer number (43072981).

Almost surely, 21210420112 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 1210420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292189430).

1210420112 is an abundant number, since it is smaller than the sum of its proper divisors (1373958748).

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

1210420112 is a wasteful number, since it uses less digits than its factorization.

1210420112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1210420112 is about 34791.0924232051. The cubic root of 1210420112 is about 1065.7255481953.

Adding to 1210420112 its reverse (2110240121), we get a palindrome (3320660233).

Subtracting 1210420112 from its reverse (2110240121), we obtain a square (899820009 = 299972).

The spelling of 1210420112 in words is "one billion, two hundred ten million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 673 929 968 1346 1858 1936 2692 3716 5384 7403 7432 10219 10768 14806 14864 20438 29612 40876 59224 81433 81752 112409 118448 162866 163504 224818 325732 449636 625217 651464 899272 1250434 1302928 1798544 2500868 5001736 6877387 10003472 13754774 27509548 55019096 75651257 110038192 151302514 302605028 605210056 1210420112