Search a number
-
+
113210300203312 = 24131078663587179
BaseRepresentation
bin11001101111011011010011…
…101110101000000100110000
3112211211210120110202021201011
4121233123103232220010300
5104314314143323001222
61040440032142320304
732563113530150134
oct3157332356500460
9484753513667634
10113210300203312
1133088245095294
1210844ab8589094
134b228bb07a190
141dd559cca53c4
15d14cd67d7c77
hex66f6d3ba8130

113210300203312 has 80 divisors (see below), whose sum is σ = 238453215517440. Its totient is φ = 51756518267136.

The previous prime is 113210300203283. The next prime is 113210300203313. The reversal of 113210300203312 is 213302003012311.

It is not an unprimeable number, because it can be changed into a prime (113210300203313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192510139 + ... + 193097317.

It is an arithmetic number, because the mean of its divisors is an integer number (2980665193968).

Almost surely, 2113210300203312 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 113210300203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119226607758720).

113210300203312 is an abundant number, since it is smaller than the sum of its proper divisors (125242915314128).

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

113210300203312 is a wasteful number, since it uses less digits than its factorization.

113210300203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595970 (or 595964 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 113210300203312 its reverse (213302003012311), we get a palindrome (326512303215623).

The spelling of 113210300203312 in words is "one hundred thirteen trillion, two hundred ten billion, three hundred million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 107 208 214 428 856 1391 1712 2782 5564 8663 11128 17326 22256 34652 69304 112619 138608 225238 450476 587179 900952 926941 1174358 1801904 1853882 2348716 3707764 4697432 7415528 7633327 9394864 12050233 14831056 15266654 24100466 30533308 48200932 61066616 62828153 96401864 122133232 125656306 192803728 251312612 502625224 816765989 1005250448 1633531978 3267063956 5086731677 6534127912 10173463354 13068255824 20346926708 40693853416 66127511801 81387706832 132255023602 264510047204 529020094408 544280289439 1058040188816 1088560578878 2177121157756 4354242315512 7075643762707 8708484631024 14151287525414 28302575050828 56605150101656 113210300203312