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213131011111421 = 134110926313948811
BaseRepresentation
bin110000011101011101101110…
…001101010011100111111101
31000221122010101121122121120212
4300131131232031103213331
5210413414302321031141
62033143011304522205
762615131066213244
oct6035355615234775
91027563347577525
10213131011111421
1161a01399505147
121baa2274480365
1391c02254496b0
143a8b84b51595b
1519990602132eb
hexc1d76e3539fd

213131011111421 has 32 divisors (see below), whose sum is σ = 238183218282240. Its totient is φ = 189453853324800.

The previous prime is 213131011111399. The next prime is 213131011111433. The reversal of 213131011111421 is 124111110131312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213131011111421 is a prime.

It is a super-3 number, since 3×2131310111114213 (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213131011111021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8305106 + ... + 22253916.

It is an arithmetic number, because the mean of its divisors is an integer number (7443225571320).

Almost surely, 2213131011111421 is an apocalyptic number.

It is an amenable number.

213131011111421 is a deficient number, since it is larger than the sum of its proper divisors (25052207170819).

213131011111421 is a wasteful number, since it uses less digits than its factorization.

213131011111421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13949237.

The product of its (nonzero) digits is 144, while the sum is 23.

Adding to 213131011111421 its reverse (124111110131312), we get a palindrome (337242121242733).

The spelling of 213131011111421 in words is "two hundred thirteen trillion, one hundred thirty-one billion, eleven million, one hundred eleven thousand, four hundred twenty-one".

Divisors: 1 13 41 109 263 533 1417 3419 4469 10783 28667 58097 140179 372671 1175347 13948811 15279511 181334543 571901251 1520420399 3668537293 7434716263 19765465187 47690984809 62337236359 150410029013 399870564937 810384072667 1955330377169 5198317344181 16394693162417 213131011111421