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213200311122 = 232109310836653
BaseRepresentation
bin1100011010001110111…
…0101001001101010010
3202101022021222222011100
43012203232221031102
511443113234423442
6241535354325230
721255205513041
oct3064356511522
9671267888140
10213200311122
1182466021337
12353a0429816
1317149056966
14a4672b0558
15582c29284c
hex31a3ba9352

213200311122 has 24 divisors (see below), whose sum is σ = 462356679564. Its totient is φ = 71001743904.

The previous prime is 213200311081. The next prime is 213200311139. The reversal of 213200311122 is 221113002312.

213200311122 is a `hidden beast` number, since 21 + 320 + 0 + 311 + 12 + 2 = 666.

213200311122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 134851262841 + 78349048281 = 367221^2 + 279909^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 213200311095 and 213200311104.

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 11 ways as a sum of consecutive naturals, for example, 5398653 + ... + 5438000.

Almost surely, 2213200311122 is an apocalyptic number.

213200311122 is an abundant number, since it is smaller than the sum of its proper divisors (249156368442).

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

213200311122 is a wasteful number, since it uses less digits than its factorization.

213200311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10837754 (or 10837751 counting only the distinct ones).

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

Adding to 213200311122 its reverse (221113002312), we get a palindrome (434313313434).

The spelling of 213200311122 in words is "two hundred thirteen billion, two hundred million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1093 2186 3279 6558 9837 19674 10836653 21673306 32509959 65019918 97529877 195059754 11844461729 23688923458 35533385187 71066770374 106600155561 213200311122