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211131120431 = 7112741962603
BaseRepresentation
bin1100010010100001100…
…1010011101100101111
3202011222002110012011002
43010220121103230233
511424344031323211
6240554200350515
721153011625110
oct3045031235457
9664862405132
10211131120431
11815a4016790
1234b0347543b
1316ba946527a
14a30c564207
15575a7b403b
hex3128653b2f

211131120431 has 8 divisors (see below), whose sum is σ = 263228409984. Its totient is φ = 164517756120.

The previous prime is 211131120383. The next prime is 211131120439. The reversal of 211131120431 is 134021131112.

211131120431 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 211131120431 - 214 = 211131104047 is a prime.

It is a super-2 number, since 2×2111311204312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211131120439) 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, 1370981225 + ... + 1370981378.

It is an arithmetic number, because the mean of its divisors is an integer number (32903551248).

Almost surely, 2211131120431 is an apocalyptic number.

211131120431 is a deficient number, since it is larger than the sum of its proper divisors (52097289553).

211131120431 is a wasteful number, since it uses less digits than its factorization.

211131120431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741962621.

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

Adding to 211131120431 its reverse (134021131112), we get a palindrome (345152251543).

The spelling of 211131120431 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred twenty thousand, four hundred thirty-one".

Divisors: 1 7 11 77 2741962603 19193738221 30161588633 211131120431