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13303233312 = 2531761133631
BaseRepresentation
bin11000110001110111…
…10011101100100000
31021100010101021100220
430120323303230200
5204221111431222
610040022243040
7650444421525
oct143073635440
937303337326
1013303233312
1157073680a6
1226b3286480
1313401623b5
14902b4114c
1552cd9db5c
hex318ef3b20

13303233312 has 96 divisors (see below), whose sum is σ = 37581594624. Its totient is φ = 4105113600.

The previous prime is 13303233311. The next prime is 13303233313. The reversal of 13303233312 is 21333230331.

13303233312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13303233311) and next prime (13303233313).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13303233311) 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 15 ways as a sum of consecutive naturals, for example, 32737 + ... + 166367.

It is an arithmetic number, because the mean of its divisors is an integer number (391474944).

Almost surely, 213303233312 is an apocalyptic number.

13303233312 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 13303233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18790797312).

13303233312 is an abundant number, since it is smaller than the sum of its proper divisors (24278361312).

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

13303233312 is a wasteful number, since it uses less digits than its factorization.

13303233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133722 (or 133714 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13303233312 its reverse (21333230331), we get a palindrome (34636463643).

The spelling of 13303233312 in words is "thirteen billion, three hundred three million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 68 96 102 122 136 183 204 244 272 366 408 488 544 732 816 976 1037 1464 1632 1952 2074 2928 3111 4148 5856 6222 8296 12444 16592 24888 33184 49776 99552 133631 267262 400893 534524 801786 1069048 1603572 2138096 2271727 3207144 4276192 4543454 6414288 6815181 8151491 9086908 12828576 13630362 16302982 18173816 24454473 27260724 32605964 36347632 48908946 54521448 65211928 72695264 97817892 109042896 130423856 138575347 195635784 218085792 260847712 277150694 391271568 415726041 554301388 782543136 831452082 1108602776 1662904164 2217205552 3325808328 4434411104 6651616656 13303233312