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211312441420 = 22596011100471
BaseRepresentation
bin1100010011001100110…
…0111111100001001100
3202012102201122020210021
43010303030333201030
511430231441111140
6241024154551524
721160343054533
oct3046314774114
9665381566707
10211312441420
1181687400943
1234b541385a4
1316c07bac4b2
14a32868331a
15576b67db4a
hex313333f84c

211312441420 has 24 divisors (see below), whose sum is σ = 443802750048. Its totient is φ = 84516096000.

The previous prime is 211312441409. The next prime is 211312441423. The reversal of 211312441420 is 24144213112.

211312441420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211312441423) by changing a digit.

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, 358216 + ... + 742255.

It is an arithmetic number, because the mean of its divisors is an integer number (18491781252).

Almost surely, 2211312441420 is an apocalyptic number.

211312441420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312441420 is an abundant number, since it is smaller than the sum of its proper divisors (232490308628).

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

211312441420 is a wasteful number, since it uses less digits than its factorization.

211312441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110081 (or 1110079 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 211312441420 its reverse (24144213112), we get a palindrome (235456654532).

The spelling of 211312441420 in words is "two hundred eleven billion, three hundred twelve million, four hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 9601 19202 38404 48005 96010 192020 1100471 2200942 4401884 5502355 11004710 22009420 10565622071 21131244142 42262488284 52828110355 105656220710 211312441420