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1232103312 = 243811297
BaseRepresentation
bin100100101110000…
…0110011110010000
310011212102100000000
41021130012132100
510010404301222
6322132130000
742350463636
oct11134063620
93155370000
101232103312
11582543500
122a4766900
1316835491b
14b98c9356
157327c9ac
hex49706790

1232103312 has 270 divisors, whose sum is σ = 3976295414. Its totient is φ = 369515520.

The previous prime is 1232103311. The next prime is 1232103319. The reversal of 1232103312 is 2133012321.

1232103312 is a `hidden beast` number, since 12 + 321 + 0 + 331 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1028869776 + 203233536 = 32076^2 + 14256^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1232103311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12702048 + ... + 12702144.

Almost surely, 21232103312 is an apocalyptic number.

1232103312 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 1232103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988147707).

1232103312 is an abundant number, since it is smaller than the sum of its proper divisors (2744192102).

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

1232103312 is an frugal number, since it uses more digits than its factorization.

1232103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1232103312 is about 35101.3292056013. The cubic root of 1232103312 is about 1072.0516469140.

Adding to 1232103312 its reverse (2133012321), we get a palindrome (3365115633).

Subtracting 1232103312 from its reverse (2133012321), we obtain a palindrome (900909009).

The spelling of 1232103312 in words is "one billion, two hundred thirty-two million, one hundred three thousand, three hundred twelve".