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211112312203221 = 311132162123352313
BaseRepresentation
bin110000000000000101101010…
…011000000110011111010101
31000200111010210000111210210020
4300000011222120012133111
5210132331003411000341
62024555353553215353
762316234620466642
oct6000055230063725
91020433700453706
10211112312203221
11612a3257608920
121b816b92261559
1390a4a61c38600
143a1bc674a6dc9
1519617b0823566
hexc0016a6067d5

211112312203221 has 48 divisors (see below), whose sum is σ = 332715549857472. Its totient is φ = 118031925772800.

The previous prime is 211112312203201. The next prime is 211112312203277. The reversal of 211112312203221 is 122302213211112.

It is not a de Polignac number, because 211112312203221 - 211 = 211112312201173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211112312203191 and 211112312203200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112312203201) 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 47 ways as a sum of consecutive naturals, for example, 2635840 + ... + 20716473.

It is an arithmetic number, because the mean of its divisors is an integer number (6931573955364).

Almost surely, 2211112312203221 is an apocalyptic number.

It is an amenable number.

211112312203221 is a deficient number, since it is larger than the sum of its proper divisors (121603237654251).

211112312203221 is a wasteful number, since it uses less digits than its factorization.

211112312203221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23353974 (or 23353961 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 211112312203221 its reverse (122302213211112), we get a palindrome (333414525414333).

The spelling of 211112312203221 in words is "two hundred eleven trillion, one hundred twelve billion, three hundred twelve million, two hundred three thousand, two hundred twenty-one".

Divisors: 1 3 11 13 33 39 143 169 429 507 1621 1859 4863 5577 17831 21073 53493 63219 231803 273949 695409 821847 3013439 9040317 23352313 70056939 256875443 303580069 770626329 910740207 3339380759 3946540897 10018142277 11839622691 37854099373 43411949867 113562298119 130235849601 416395093103 492103291849 1249185279309 1476309875547 5413136210339 6397342794037 16239408631017 19192028382111 70370770734407 211112312203221