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113200213000221 = 32101318733907153
BaseRepresentation
bin11001101111010001111010…
…011111000000000000011101
3112211210211112110220021102200
4121233101322133000000131
5104314133014012001341
61040431243202442113
732562305543301564
oct3157217237000035
9484724473807380
10113200213000221
1133083a3912a306
1210842b62363339
134b219712a9b59
141dd4cc3322bdb
15d148e5e51db6
hex66f47a7c001d

113200213000221 has 24 divisors (see below), whose sum is σ = 165135566866296. Its totient is φ = 74717249126400.

The previous prime is 113200213000211. The next prime is 113200213000223. The reversal of 113200213000221 is 122000312002311.

113200213000221 is a `hidden beast` number, since 1 + 1 + 320 + 0 + 21 + 300 + 0 + 2 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5917124360196 + 107283088640025 = 2432514^2 + 10357755^2 .

It is not a de Polignac number, because 113200213000221 - 26 = 113200213000157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113200213000194 and 113200213000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113200213000223) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27018981 + ... + 30926133.

It is an arithmetic number, because the mean of its divisors is an integer number (6880648619429).

Almost surely, 2113200213000221 is an apocalyptic number.

It is an amenable number.

113200213000221 is a deficient number, since it is larger than the sum of its proper divisors (51935353866075).

113200213000221 is a wasteful number, since it uses less digits than its factorization.

113200213000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939133 (or 3939130 counting only the distinct ones).

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

Adding to 113200213000221 its reverse (122000312002311), we get a palindrome (235200525002532).

The spelling of 113200213000221 in words is "one hundred thirteen trillion, two hundred billion, two hundred thirteen million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 9 101 303 909 31873 95619 286857 3219173 3907153 9657519 11721459 28972557 35164377 394622453 1183867359 3551602077 124532687569 373598062707 1120794188121 12577801444469 37733404333407 113200213000221