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211132022113 = 7314919410869
BaseRepresentation
bin1100010010100001110…
…0101111110101100001
3202011222011011000000201
43010220130233311201
511424344244201423
6240554231545201
721153022401655
oct3045034576541
9664864130021
10211132022113
11815a4582181
1234b0382b201
1316ba96bc7cc
14a30c71aa65
15575a8e12ad
hex312872fd61

211132022113 has 8 divisors (see below), whose sum is σ = 215460657000. Its totient is φ = 206842209408.

The previous prime is 211132022069. The next prime is 211132022119. The reversal of 211132022113 is 311220231112.

211132022113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9034122304 + 202097899809 = 95048^2 + 449553^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211132022113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211132022119) 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, 9694558 + ... + 9716311.

It is an arithmetic number, because the mean of its divisors is an integer number (26932582125).

Almost surely, 2211132022113 is an apocalyptic number.

It is an amenable number.

211132022113 is a deficient number, since it is larger than the sum of its proper divisors (4328634887).

211132022113 is a wasteful number, since it uses less digits than its factorization.

211132022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19411091.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 211132022113 its reverse (311220231112), we get a palindrome (522352253225).

The spelling of 211132022113 in words is "two hundred eleven billion, one hundred thirty-two million, twenty-two thousand, one hundred thirteen".

Divisors: 1 73 149 10877 19410869 1416993437 2892219481 211132022113