Search a number
-
+
211411042420 = 22525741130553
BaseRepresentation
bin1100010011100100010…
…1001000000001110100
3202012200121011200221011
43010321011020001310
511430432211324140
6241042040202004
721162651132154
oct3047105100164
9665617150834
10211411042420
1181728027276
1234b81169304
1316c22453296
14a3377cc764
155775158cea
hex3139148074

211411042420 has 24 divisors (see below), whose sum is σ = 445690683144. Its totient is φ = 84235370496.

The previous prime is 211411042397. The next prime is 211411042459. The reversal of 211411042420 is 24240114112.

211411042420 is digitally balanced in base 3, 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 4 ways, for example, as 132209323236 + 79201719184 = 363606^2 + 281428^2 .

It is a super-2 number, since 2×2114110424202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211411042391 and 211411042400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20560137 + ... + 20570416.

It is an arithmetic number, because the mean of its divisors is an integer number (18570445131).

Almost surely, 2211411042420 is an apocalyptic number.

211411042420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211411042420 is an abundant number, since it is smaller than the sum of its proper divisors (234279640724).

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

211411042420 is a wasteful number, since it uses less digits than its factorization.

211411042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41130819 (or 41130817 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 211411042420 its reverse (24240114112), we get a palindrome (235651156532).

The spelling of 211411042420 in words is "two hundred eleven billion, four hundred eleven million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 257 514 1028 1285 2570 5140 41130553 82261106 164522212 205652765 411305530 822611060 10570552121 21141104242 42282208484 52852760605 105705521210 211411042420