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211444004020 = 22579133825319
BaseRepresentation
bin1100010011101100001…
…0110111010010110100
3202012202220012022202011
43010323002313102310
511431014131112040
6241045214454004
721163531244134
oct3047302672264
9665686168664
10211444004020
118174469a867
1234b90204304
1316c292242a2
14a33bd2cac4
155777eba3ea
hex313b0b74b4

211444004020 has 24 divisors (see below), whose sum is σ = 449653075200. Its totient is φ = 83506998432.

The previous prime is 211444004003. The next prime is 211444004069. The reversal of 211444004020 is 20400444112.

211444004020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211444003982 and 211444004000.

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 7 ways as a sum of consecutive naturals, for example, 66911080 + ... + 66914239.

It is an arithmetic number, because the mean of its divisors is an integer number (18735544800).

Almost surely, 2211444004020 is an apocalyptic number.

211444004020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211444004020 is an abundant number, since it is smaller than the sum of its proper divisors (238209071180).

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

211444004020 is a wasteful number, since it uses less digits than its factorization.

211444004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133825407 (or 133825405 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 211444004020 its reverse (20400444112), we get a palindrome (231844448132).

The spelling of 211444004020 in words is "two hundred eleven billion, four hundred forty-four million, four thousand, twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 133825319 267650638 535301276 669126595 1338253190 2676506380 10572200201 21144400402 42288800804 52861001005 105722002010 211444004020