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13303332252 = 223271711327481
BaseRepresentation
bin11000110001111000…
…01011110110011100
31021100010120022002100
430120330023312130
5204221123113002
610040024325100
7650445313140
oct143074136634
937303508070
1013303332252
115707425471
1226b3313790
131340198442
14902b69220
1552cdbd11c
hex318f0bd9c

13303332252 has 144 divisors (see below), whose sum is σ = 41054150592. Its totient is φ = 3545579520.

The previous prime is 13303332247. The next prime is 13303332253. The reversal of 13303332252 is 25223330331.

13303332252 is a `hidden beast` number, since 1 + 3 + 303 + 332 + 25 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303332253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 470352 + ... + 497832.

It is an arithmetic number, because the mean of its divisors is an integer number (285098268).

Almost surely, 213303332252 is an apocalyptic number.

13303332252 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 13303332252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527075296).

13303332252 is an abundant number, since it is smaller than the sum of its proper divisors (27750818340).

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

13303332252 is a wasteful number, since it uses less digits than its factorization.

13303332252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27628 (or 27623 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 13303332252 its reverse (25223330331), we get a palindrome (38526662583).

The spelling of 13303332252 in words is "thirteen billion, three hundred three million, three hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 113 119 126 153 204 226 238 252 306 339 357 452 476 612 678 714 791 1017 1071 1356 1428 1582 1921 2034 2142 2373 3164 3842 4068 4284 4746 5763 7119 7684 9492 11526 13447 14238 17289 23052 26894 27481 28476 34578 40341 53788 54962 69156 80682 82443 109924 121023 161364 164886 192367 242046 247329 329772 384734 467177 484092 494658 577101 769468 934354 989316 1154202 1401531 1731303 1868708 2308404 2803062 3105353 3270239 3462606 4204593 5606124 6210706 6540478 6925212 8409186 9316059 9810717 12421412 13080956 16818372 18632118 19621434 21737471 27948177 29432151 37264236 39242868 43474942 52791001 55896354 58864302 65212413 86949884 105582002 111792708 117728604 130424826 158373003 195637239 211164004 260849652 316746006 369537007 391274478 475119009 633492012 739074014 782548956 950238018 1108611021 1478148028 1900476036 2217222042 3325833063 4434444084 6651666126 13303332252