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113205316152 = 233314131111933
BaseRepresentation
bin110100101101110010…
…0000000101000111000
3101211012110202220112010
41221123210000220320
53323321030104102
6124001130445520
711115222211335
oct1513344005070
9354173686463
10113205316152
11440124a4625
1219b342938a0
13a8a15aa396
14569cb9398c
152e286e5d6c
hex1a5b900a38

113205316152 has 128 divisors (see below), whose sum is σ = 300255621120. Its totient is φ = 35509632000.

The previous prime is 113205316123. The next prime is 113205316157. The reversal of 113205316152 is 251613502311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113205316157) 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, 9480778 + ... + 9492710.

It is an arithmetic number, because the mean of its divisors is an integer number (2345747040).

Almost surely, 2113205316152 is an apocalyptic number.

113205316152 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 113205316152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150127810560).

113205316152 is an abundant number, since it is smaller than the sum of its proper divisors (187050304968).

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

113205316152 is a wasteful number, since it uses less digits than its factorization.

113205316152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12321 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 113205316152 its reverse (251613502311), we get a palindrome (364818818463).

The spelling of 113205316152 in words is "one hundred thirteen billion, two hundred five million, three hundred sixteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 311 328 372 492 622 744 933 984 1244 1271 1866 2488 2542 3732 3813 5084 7464 7626 9641 10168 11933 12751 15252 19282 23866 25502 28923 30504 35799 38253 38564 47732 51004 57846 71598 76506 77128 95464 102008 115692 143196 153012 231384 286392 306024 369923 395281 489253 739846 790562 978506 1109769 1185843 1467759 1479692 1581124 1957012 2219538 2371686 2935518 2959384 3162248 3711163 3914024 4439076 4743372 5871036 7422326 8878152 9486744 11133489 11742072 14844652 15166843 22266978 29689304 30333686 44533956 45500529 60667372 89067912 91001058 115046053 121334744 152157683 182002116 230092106 304315366 345138159 364004232 456473049 460184212 608630732 690276318 912946098 920368424 1217261464 1380552636 1825892196 2761105272 3651784392 4716888173 9433776346 14150664519 18867552692 28301329038 37735105384 56602658076 113205316152