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213244411400 = 23521066222057
BaseRepresentation
bin1100011010011001011…
…0110111111000001000
3202101102100222111100222
43012212112313320020
511443211032131100
6241544011445212
721256252406216
oct3064626677010
9671370874328
10213244411400
1182488a02549
12353b3156808
13171552278b7
14a46d0adcb6
1558310a4485
hex31a65b7e08

213244411400 has 24 divisors (see below), whose sum is σ = 495793256970. Its totient is φ = 85297764480.

The previous prime is 213244411399. The next prime is 213244411421. The reversal of 213244411400 is 4114442312.

213244411400 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 3 ways, for example, as 169831355236 + 43413056164 = 412106^2 + 208358^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213244411400.

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 5 ways as a sum of consecutive naturals, for example, 533110829 + ... + 533111228.

Almost surely, 2213244411400 is an apocalyptic number.

213244411400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213244411400 is an abundant number, since it is smaller than the sum of its proper divisors (282548845570).

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

213244411400 is a wasteful number, since it uses less digits than its factorization.

213244411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066222073 (or 1066222064 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 213244411400 its reverse (4114442312), we get a palindrome (217358853712).

The spelling of 213244411400 in words is "two hundred thirteen billion, two hundred forty-four million, four hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1066222057 2132444114 4264888228 5331110285 8529776456 10662220570 21324441140 26655551425 42648882280 53311102850 106622205700 213244411400