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11531031252 = 223131715592789
BaseRepresentation
bin10101011110100110…
…11001001011010100
31002202121200002011120
422233103121023110
5142103421000002
65144114003540
7555515101626
oct125723311324
932677602146
1011531031252
114987a6a4a4
1222998765b0
131119c55c20
147b5622c16
154774d6cbc
hex2af4d92d4

11531031252 has 96 divisors (see below), whose sum is σ = 30710534400. Its totient is φ = 3335964672.

The previous prime is 11531031247. The next prime is 11531031257. The reversal of 11531031252 is 25213013511.

It is an interprime number because it is at equal distance from previous prime (11531031247) and next prime (11531031257).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11531031257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4133074 + ... + 4135862.

It is an arithmetic number, because the mean of its divisors is an integer number (319901400).

Almost surely, 211531031252 is an apocalyptic number.

11531031252 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 11531031252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355267200).

11531031252 is an abundant number, since it is smaller than the sum of its proper divisors (19179503148).

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

11531031252 is a wasteful number, since it uses less digits than its factorization.

11531031252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 11531031252 its reverse (25213013511), we get a palindrome (36744044763).

The spelling of 11531031252 in words is "eleven billion, five hundred thirty-one million, thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 1559 2652 2789 3118 4677 5578 6236 8367 9354 11156 16734 18708 20267 26503 33468 36257 40534 47413 53006 60801 72514 79509 81068 94826 106012 108771 121602 142239 145028 159018 189652 217542 243204 284478 318036 344539 435084 568956 616369 689078 1033617 1232738 1378156 1849107 2067234 2465476 3698214 4134468 4348051 7396428 8696102 13044153 17392204 26088306 52176612 56524663 73916867 113049326 147833734 169573989 221750601 226098652 295667468 339147978 443501202 678295956 887002404 960919271 1921838542 2882757813 3843677084 5765515626 11531031252