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113013101320 = 23571921921001
BaseRepresentation
bin110100101000000011…
…0110001001100001000
3101210201002002101100021
41221100012301030020
53322422323220240
6123530102550224
711110366340260
oct1512006611410
9353632071307
10113013101320
1143a23a49799
1219a9ba38374
13a87081a7b2
14568143a7a0
152e168c854a
hex1a501b1308

113013101320 has 64 divisors (see below), whose sum is σ = 290634076800. Its totient is φ = 38743488000.

The previous prime is 113013101317. The next prime is 113013101329. The reversal of 113013101320 is 23101310311.

It is a super-2 number, since 2×1130131013202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113013101294 and 113013101303.

It is not an unprimeable number, because it can be changed into a prime (113013101329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5370820 + ... + 5391820.

It is an arithmetic number, because the mean of its divisors is an integer number (4541157450).

Almost surely, 2113013101320 is an apocalyptic number.

113013101320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113013101320 is an abundant number, since it is smaller than the sum of its proper divisors (177620975480).

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

113013101320 is a wasteful number, since it uses less digits than its factorization.

113013101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40238 (or 40234 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 113013101320 its reverse (23101310311), we get a palindrome (136114411631).

The spelling of 113013101320 in words is "one hundred thirteen billion, thirteen million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 19219 21001 38438 42002 76876 84004 96095 105005 134533 147007 153752 168008 192190 210010 269066 294014 384380 420020 538132 588028 672665 735035 768760 840040 1076264 1176056 1345330 1470070 2690660 2940140 5381320 5880280 403618219 807236438 1614472876 2018091095 2825327533 3228945752 4036182190 5650655066 8072364380 11301310132 14126637665 16144728760 22602620264 28253275330 56506550660 113013101320