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211211301020 = 225227239319441
BaseRepresentation
bin1100010010110100101…
…1001011000010011100
3202012011200022210020112
43010231023023002130
511430030043113040
6241010143105152
721155004302546
oct3045513130234
9665150283215
10211211301020
1181635300635
1234b262a21b8
1316bbcc598c5
14a319076696
155762851365
hex312d2cb09c

211211301020 has 48 divisors (see below), whose sum is σ = 445706761248. Its totient is φ = 84072867840.

The previous prime is 211211301013. The next prime is 211211301029. The reversal of 211211301020 is 20103112112.

It is a super-2 number, since 2×2112113010202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211300986 and 211211301004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211301029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10854500 + ... + 10873940.

It is an arithmetic number, because the mean of its divisors is an integer number (9285557526).

Almost surely, 2211211301020 is an apocalyptic number.

211211301020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211301020 is an abundant number, since it is smaller than the sum of its proper divisors (234495460228).

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

211211301020 is a wasteful number, since it uses less digits than its factorization.

211211301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22070 (or 22068 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 211211301020 its reverse (20103112112), we get a palindrome (231314413132).

The spelling of 211211301020 in words is "two hundred eleven billion, two hundred eleven million, three hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 227 454 908 1135 2270 2393 4540 4786 9572 11965 19441 23930 38882 47860 77764 97205 194410 388820 543211 1086422 2172844 2716055 4413107 5432110 8826214 10864220 17652428 22065535 44131070 46522313 88262140 93044626 186089252 232611565 465223130 930446260 10560565051 21121130102 42242260204 52802825255 105605650510 211211301020