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113021112113 = 71321971992437
BaseRepresentation
bin110100101000010010…
…1010100111100110001
3101210201122011101002022
41221100211110330301
53322431401041423
6123530550401225
711110524413330
oct1512045247461
9353648141068
10113021112113
1143a28520388
1219aa2660215
13a872393b00
145682523d17
152e1745bdc8
hex1a50954f31

113021112113 has 48 divisors (see below), whose sum is σ = 141341587200. Its totient is φ = 88485965568.

The previous prime is 113021112037. The next prime is 113021112227. The reversal of 113021112113 is 311211120311.

It is not a de Polignac number, because 113021112113 - 230 = 111947370289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113021112091 and 113021112100.

It is not an unprimeable number, because it can be changed into a prime (113021112313) 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 47 ways as a sum of consecutive naturals, for example, 46375931 + ... + 46378367.

It is an arithmetic number, because the mean of its divisors is an integer number (2944616400).

Almost surely, 2113021112113 is an apocalyptic number.

113021112113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113021112113 is a deficient number, since it is larger than the sum of its proper divisors (28320475087).

113021112113 is a wasteful number, since it uses less digits than its factorization.

113021112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 113021112113 its reverse (311211120311), we get a palindrome (424232232424).

The spelling of 113021112113 in words is "one hundred thirteen billion, twenty-one million, one hundred twelve thousand, one hundred thirteen".

Divisors: 1 7 13 91 169 197 199 1183 1379 1393 2437 2561 2587 17059 17927 18109 31681 33293 33631 39203 221767 233051 235417 274421 411853 480089 484963 509639 2882971 3360623 3394741 3567473 6241157 6304519 6625307 43688099 44131633 46377149 81135041 81958747 95537711 567945287 573711229 668763977 1241990243 8693931701 16145873159 113021112113