Search a number
-
+
223201102011300 = 223352717853781373
BaseRepresentation
bin110010110000000000001110…
…011001100001101110100100
31002021021211001120021111111000
4302300000032121201232210
5213223411324103330200
62110413100513113300
765004514244441460
oct6260001631415644
91067254046244430
10223201102011300
11651340682766a6
1221049a51558830
139770a097c7c6a
143d18dc335d4a0
151ac0e8d720300
hexcb000e661ba4

223201102011300 has 576 divisors, whose sum is σ = 868408433303040. Its totient is φ = 48010157015040.

The previous prime is 223201102011287. The next prime is 223201102011337. The reversal of 223201102011300 is 3110201102322.

223201102011300 is a `hidden beast` number, since 2 + 2 + 320 + 1 + 10 + 20 + 11 + 300 = 666.

It is a super-3 number, since 3×2232011020113003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2742897414 + ... + 2742978786.

It is an arithmetic number, because the mean of its divisors is an integer number (1507653530040).

Almost surely, 2223201102011300 is an apocalyptic number.

223201102011300 is a gapful number since it is divisible by the number (20) 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 223201102011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434204216651520).

223201102011300 is an abundant number, since it is smaller than the sum of its proper divisors (645207331291740).

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

223201102011300 is a wasteful number, since it uses less digits than its factorization.

223201102011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89957 (or 89944 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 223201102011300 its reverse (3110201102322), we get a palindrome (226311303113622).

The spelling of 223201102011300 in words is "two hundred twenty-three trillion, two hundred one billion, one hundred two million, eleven thousand, three hundred".