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211231000111 = 11711787100943
BaseRepresentation
bin1100010010111001011…
…0010100011000101111
3202012020001101121022111
43010232112110120233
511430100114000421
6241012125224451
721155333606365
oct3045626243057
9665201347274
10211231000111
118164543587a
1234b30a02127
1316bc4066081
14a31b923635
155764442ee1
hex312e59462f

211231000111 has 8 divisors (see below), whose sum is σ = 211531785984. Its totient is φ = 210930422040.

The previous prime is 211231000093. The next prime is 211231000171. The reversal of 211231000111 is 111000132112.

It is a happy number.

211231000111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211231000111 - 29 = 211230999599 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211231000091 and 211231000100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211231000171) 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, 2042106 + ... + 2143048.

It is an arithmetic number, because the mean of its divisors is an integer number (26441473248).

Almost surely, 2211231000111 is an apocalyptic number.

211231000111 is a deficient number, since it is larger than the sum of its proper divisors (300785873).

211231000111 is a wasteful number, since it uses less digits than its factorization.

211231000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103901.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 211231000111 its reverse (111000132112), we get a palindrome (322231132223).

The spelling of 211231000111 in words is "two hundred eleven billion, two hundred thirty-one million, one hundred eleven", and thus it is an aban number.

Divisors: 1 1171 1787 100943 2092577 118204253 180385141 211231000111