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212454105023 = 23211241373487
BaseRepresentation
bin1100010111011101000…
…0000101111110111111
3202022101021212202211102
43011313100011332333
511440101222330043
6241333340443315
721230545045046
oct3056720057677
9668337782742
10212454105023
1182112892686
123521254953b
131705a589ca4
14a3d614955d
1557d69e46b8
hex3177405fbf

212454105023 has 32 divisors (see below), whose sum is σ = 224726295552. Its totient is φ = 200462169600.

The previous prime is 212454105013. The next prime is 212454105047. The reversal of 212454105023 is 320501454212.

It is a cyclic number.

It is not a de Polignac number, because 212454105023 - 26 = 212454104959 is a prime.

It is a super-2 number, since 2×2124541050232 (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 (212454105013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436250486 + ... + 436250972.

It is an arithmetic number, because the mean of its divisors is an integer number (7022696736).

Almost surely, 2212454105023 is an apocalyptic number.

212454105023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

212454105023 is a deficient number, since it is larger than the sum of its proper divisors (12272190529).

212454105023 is a wasteful number, since it uses less digits than its factorization.

212454105023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335.

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 212454105023 its reverse (320501454212), we get a palindrome (532955559235).

The spelling of 212454105023 in words is "two hundred twelve billion, four hundred fifty-four million, one hundred five thousand, twenty-three".

Divisors: 1 23 211 241 373 487 4853 5543 8579 11201 50851 78703 89893 102757 117367 181651 1169573 1810169 2067539 2363411 2699441 4177973 18967423 24764437 38328361 43777891 436250729 569582051 881552303 1006891493 9237135001 212454105023