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1312233021 = 33112439341
BaseRepresentation
bin100111000110111…
…0001011000111101
310101110012100022000
41032031301120331
510141412424041
6334113412513
744342540151
oct11615613075
93343170260
101312233021
116137a3100
1230756a139
1317bb2c058
14c63c7061
157a309bb6
hex4e37163d

1312233021 has 48 divisors (see below), whose sum is σ = 2186775360. Its totient is φ = 776714400.

The previous prime is 1312233011. The next prime is 1312233031. The reversal of 1312233021 is 1203322131.

1312233021 is a `hidden beast` number, since 1 + 312 + 2 + 330 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (1312233011) and next prime (1312233031).

It is not a de Polignac number, because 1312233021 - 210 = 1312231997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1312232985 and 1312233003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312233001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135811 + ... + 145151.

It is an arithmetic number, because the mean of its divisors is an integer number (45557820).

Almost surely, 21312233021 is an apocalyptic number.

1312233021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1312233021 is a deficient number, since it is larger than the sum of its proper divisors (874542339).

1312233021 is a wasteful number, since it uses less digits than its factorization.

1312233021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9415 (or 9398 counting only the distinct ones).

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

The square root of 1312233021 is about 36224.7570178186. The cubic root of 1312233021 is about 1094.8055425003.

Adding to 1312233021 its reverse (1203322131), we get a palindrome (2515555152).

The spelling of 1312233021 in words is "one billion, three hundred twelve million, two hundred thirty-three thousand, twenty-one".

Divisors: 1 3 9 11 27 33 43 99 121 129 297 363 387 473 1089 1161 1419 3267 4257 5203 9341 12771 15609 28023 46827 84069 102751 140481 252207 308253 401663 924759 1130261 1204989 2774277 3390783 3614967 4418293 10172349 10844901 13254879 30517047 39764637 48601223 119293911 145803669 437411007 1312233021