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211131121340 = 22550320987189
BaseRepresentation
bin1100010010100001100…
…1010011111010111100
3202011222002110020101202
43010220121103322330
511424344031340330
6240554200355032
721153011630546
oct3045031237274
9664862406352
10211131121340
11815a4017437
1234b03475a78
1316ba94657c9
14a30c564696
15575a7b4445
hex3128653ebc

211131121340 has 24 divisors (see below), whose sum is σ = 444256837920. Its totient is φ = 84284547008.

The previous prime is 211131121337. The next prime is 211131121349. The reversal of 211131121340 is 43121131112.

211131121340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211131121349) 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, 10483535 + ... + 10503654.

It is an arithmetic number, because the mean of its divisors is an integer number (18510701580).

Almost surely, 2211131121340 is an apocalyptic number.

211131121340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131121340 is an abundant number, since it is smaller than the sum of its proper divisors (233125716580).

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

211131121340 is a wasteful number, since it uses less digits than its factorization.

211131121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20987701 (or 20987699 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 211131121340 its reverse (43121131112), we get a palindrome (254252252452).

The spelling of 211131121340 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 503 1006 2012 2515 5030 10060 20987189 41974378 83948756 104935945 209871890 419743780 10556556067 21113112134 42226224268 52782780335 105565560670 211131121340