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11313021552 = 2437175933569
BaseRepresentation
bin10101000100100111…
…10000001001110000
31002012102110001002020
422202103300021300
5141132113142202
65110325151440
7550230045060
oct124223601160
932172401066
1011313021552
1148859a6598
12223885b580
1310b3a343c1
147946b33a0
154632c15bc
hex2a24f0270

11313021552 has 160 divisors (see below), whose sum is σ = 35965555200. Its totient is φ = 2990505984.

The previous prime is 11313021497. The next prime is 11313021563. The reversal of 11313021552 is 25512031311.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320224 + ... + 353792.

It is an arithmetic number, because the mean of its divisors is an integer number (224784720).

Almost surely, 211313021552 is an apocalyptic number.

11313021552 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 11313021552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17982777600).

11313021552 is an abundant number, since it is smaller than the sum of its proper divisors (24652533648).

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

11313021552 is a wasteful number, since it uses less digits than its factorization.

11313021552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33663 (or 33657 counting only the distinct ones).

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

Adding to 11313021552 its reverse (25512031311), we get a palindrome (36825052863).

The spelling of 11313021552 in words is "eleven billion, three hundred thirteen million, twenty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 59 68 84 102 112 118 119 136 168 177 204 236 238 272 336 354 357 408 413 472 476 708 714 816 826 944 952 1003 1239 1416 1428 1652 1904 2006 2478 2832 2856 3009 3304 4012 4956 5712 6018 6608 7021 8024 9912 12036 14042 16048 19824 21063 24072 28084 33569 42126 48144 56168 67138 84252 100707 112336 134276 168504 201414 234983 268552 337008 402828 469966 537104 570673 704949 805656 939932 1141346 1409898 1611312 1712019 1879864 1980571 2282692 2819796 3424038 3759728 3961142 3994711 4565384 5639592 5941713 6848076 7922284 7989422 9130768 11279184 11883426 11984133 13696152 13863997 15844568 15978844 23766852 23968266 27392304 27727994 31689136 31957688 33669707 41591991 47533704 47936532 55455988 63915376 67339414 83183982 95067408 95873064 101009121 110911976 134678828 166367964 191746128 202018242 221823952 235687949 269357656 332735928 404036484 471375898 538715312 665471856 707063847 808072968 942751796 1414127694 1616145936 1885503592 2828255388 3771007184 5656510776 11313021552