Search a number
-
+
113210351320 = 23511857300229
BaseRepresentation
bin110100101101111011…
…1001101111011011000
3101211012211020201110211
41221123313031323120
53323323322220240
6124001430420504
711115313052203
oct1513367157330
9354184221424
10113210351320
1144015323620
1219b35b01734
13a8a2651181
14569d70493a
152e28d8cbea
hex1a5bdcded8

113210351320 has 64 divisors (see below), whose sum is σ = 278205127200. Its totient is φ = 41119226880.

The previous prime is 113210351263. The next prime is 113210351333. The reversal of 113210351320 is 23153012311.

It is a super-4 number, since 4×1132103513204 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 113210351291 and 113210351300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226966 + ... + 527194.

Almost surely, 2113210351320 is an apocalyptic number.

113210351320 is a gapful number since it is divisible by the number (10) 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 113210351320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139102563600).

113210351320 is an abundant number, since it is smaller than the sum of its proper divisors (164994775880).

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

113210351320 is a wasteful number, since it uses less digits than its factorization.

113210351320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301108 (or 301104 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 113210351320 its reverse (23153012311), we get a palindrome (136363363631).

The spelling of 113210351320 in words is "one hundred thirteen billion, two hundred ten million, three hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 857 1714 3428 4285 6856 8570 9427 17140 18854 34280 37708 47135 75416 94270 188540 300229 377080 600458 1200916 1501145 2401832 3002290 3302519 6004580 6605038 12009160 13210076 16512595 26420152 33025190 66050380 132100760 257296253 514592506 1029185012 1286481265 2058370024 2572962530 2830258783 5145925060 5660517566 10291850120 11321035132 14151293915 22642070264 28302587830 56605175660 113210351320