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13531201112 = 23111347359701
BaseRepresentation
bin11001001101000010…
…11011111001011000
31021221000100020101202
430212201123321120
5210202441413422
610114404333332
7656213211632
oct144641337130
937830306352
1013531201112
115814012740
1227576a4248
13137845c6a0
14925123a52
15542dceb92
hex32685be58

13531201112 has 128 divisors (see below), whose sum is σ = 30569011200. Its totient is φ = 5533248000.

The previous prime is 13531201111. The next prime is 13531201141. The reversal of 13531201112 is 21110213531.

13531201112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13531201111) 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 31 ways as a sum of consecutive naturals, for example, 19302362 + ... + 19303062.

It is an arithmetic number, because the mean of its divisors is an integer number (238820400).

Almost surely, 213531201112 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 13531201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15284505600).

13531201112 is an abundant number, since it is smaller than the sum of its proper divisors (17037810088).

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

13531201112 is a wasteful number, since it uses less digits than its factorization.

13531201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 13531201112 its reverse (21110213531), we get a palindrome (34641414643).

The spelling of 13531201112 in words is "thirteen billion, five hundred thirty-one million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 47 52 88 94 104 143 188 286 359 376 517 572 611 701 718 1034 1144 1222 1402 1436 2068 2444 2804 2872 3949 4136 4667 4888 5608 6721 7711 7898 9113 9334 13442 15422 15796 16873 18226 18668 26884 30844 31592 32947 33746 36452 37336 51337 53768 61688 65894 67492 72904 100243 102674 131788 134984 185603 200486 205348 219349 251659 263576 362417 371206 400972 410696 428311 438698 503318 724834 742412 801944 856622 877396 1006636 1449668 1484824 1713244 1754792 2013272 2412839 2768249 2899336 3271567 3426488 4711421 4825678 5536498 6543134 9422842 9651356 11072996 11827973 13086268 18845684 19302712 22145992 23655946 26172536 35987237 37691368 47311892 71974474 94623784 130107703 143948948 153763649 260215406 287897896 307527298 520430812 615054596 1040861624 1230109192 1691400139 3382800278 6765600556 13531201112