Search a number
-
+
213244210100 = 225210919563689
BaseRepresentation
bin1100011010011001011…
…0000110101110110100
3202101102100121021020102
43012212112012232310
511443211004210400
6241544003253232
721256250610305
oct3064626065664
9671370537212
10213244210100
1182488885289
12353b307a218
131715518709c
14a46d05a7ac
1558310649d5
hex31a6586bb4

213244210100 has 36 divisors (see below), whose sum is σ = 466985280300. Its totient is φ = 84515132160.

The previous prime is 213244210079. The next prime is 213244210141. The reversal of 213244210100 is 1012442312.

213244210100 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 6 ways, for example, as 15108834724 + 198135375376 = 122918^2 + 445124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 9770945 + ... + 9792744.

Almost surely, 2213244210100 is an apocalyptic number.

213244210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213244210100 is an abundant number, since it is smaller than the sum of its proper divisors (253741070200).

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

213244210100 is a wasteful number, since it uses less digits than its factorization.

213244210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19563812 (or 19563805 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 213244210100 its reverse (1012442312), we get a palindrome (214256652412).

The spelling of 213244210100 in words is "two hundred thirteen billion, two hundred forty-four million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 545 1090 2180 2725 5450 10900 19563689 39127378 78254756 97818445 195636890 391273780 489092225 978184450 1956368900 2132442101 4264884202 8529768404 10662210505 21324421010 42648842020 53311052525 106622105050 213244210100